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MB0906: Lines and Angles
Practice Worksheet
? 1350+ Videos;
? Well-detailed solutions to 3500+ problems
? Practice assignments
Get FREE Help in Maths at www.mathbuster.in
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24 x 7 x 365 Question & Answer Forum
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Learn math anywhere, anytime with
students from across India and abroad.
? 2013 ¨C 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are
owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a
written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in
1
Thank you!
We appreciate your visiting MathBuster and downloading this study document.
If you have any doubts or difficulties in solving these questions, send your queries to mathbusterforum@googlegroups.com
Best of Luck!
Q1. In the given figure, lines PQ and RS intersect at O. If 60POR QOT? ?? ? ?
and
50QOS ,? ? ?
find QOT? and reflex ROT? .
Q2. In the given figure, AOB is a line. Ray OC is perpendicular to line AB. OD is another ray
lying between rays OA and OC. Prove that 2 .COD BOD AOD? ? ? ??
Q3. It is given that ¡ÏABC = 74o
and AB is produced to point X. Draw a figure from the given
information. If ray BY bisects ¡ÏCBX, find ¡ÏABY and reflex ¡ÏYBX.
MB0906: Lines and Angles
Practice Worksheet
? 1350+ Videos;
? Well-detailed solutions to 3500+ problems
? Practice assignments
Get FREE Help in Maths at www.mathbuster.in
? HOTS quizzes
? Self-assessment quizzes
? Model Test Papers
? Expert guidance by mathematicians
Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy:
24 x 7 x 365 Access
to high quality content to learn, practice and assess.
24 x 7 x 365 Question & Answer Forum
to get the best help for your doubts and difficulties.
Learn math anywhere, anytime with
students from across India and abroad.
? 2013 ¨C 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are
owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a
written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in
2
Q4. In the given figure, if AB||CD, 140MXB? ? ?
and 35MYC? ? ?
,find XMY? .
Q5 A transversal intersects two parallel lines. Prove that the bisectors of their alternate
interior angles are parallel.
Q6. In given figure CD||EF and EF||GH. Also CG CD? .If 60FGH ,? ? ?
find the values of
? , v and ? .
Q7. In the given figure, if AB || DE ¡ÏABC = 120? and ¡ÏCDE = 120?, find ¡ÏBCD.
[Hint: Draw a line parallel to DE through point C.]
MB0906: Lines and Angles
Practice Worksheet
? 1350+ Videos;
? Well-detailed solutions to 3500+ problems
? Practice assignments
Get FREE Help in Maths at www.mathbuster.in
? HOTS quizzes
? Self-assessment quizzes
? Model Test Papers
? Expert guidance by mathematicians
Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy:
24 x 7 x 365 Access
to high quality content to learn, practice and assess.
24 x 7 x 365 Question & Answer Forum
to get the best help for your doubts and difficulties.
Learn math anywhere, anytime with
students from across India and abroad.
? 2013 ¨C 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are
owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a
written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in
3
Q8. In given figure, if BD AC,? 50DBC? ? ?
and 40EAC? ? ?
, find u and v.
Q9. In the given figure, if PQ|| ST, ¡ÏQPR = 30? and ¡ÏRST = 50?, find ¡ÏSRP.
Q10. In the given figure, if AB ¡Í AC, AB || CD, ¡ÏCBD = 38? and ¡ÏBDE = 55?, then find the
values of s and t.
MB0906: Lines and Angles
Practice Worksheet
? 1350+ Videos;
? Well-detailed solutions to 3500+ problems
? Practice assignments
Get FREE Help in Maths at www.mathbuster.in
? HOTS quizzes
? Self-assessment quizzes
? Model Test Papers
? Expert guidance by mathematicians
Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy:
24 x 7 x 365 Access
to high quality content to learn, practice and assess.
24 x 7 x 365 Question & Answer Forum
to get the best help for your doubts and difficulties.
Learn math anywhere, anytime with
students from across India and abroad.
? 2013 ¨C 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are
owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a
written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in
4
Q11. In the given figure, the side BC of ¦¤ABC is produced to a point D. If the bisectors of
¡ÏABC and ¡ÏACD meet at point E, then prove that 2¡ÏBEC=¡ÏBAC.

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  • 1. MB0906: Lines and Angles Practice Worksheet ? 1350+ Videos; ? Well-detailed solutions to 3500+ problems ? Practice assignments Get FREE Help in Maths at www.mathbuster.in ? HOTS quizzes ? Self-assessment quizzes ? Model Test Papers ? Expert guidance by mathematicians Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy: 24 x 7 x 365 Access to high quality content to learn, practice and assess. 24 x 7 x 365 Question & Answer Forum to get the best help for your doubts and difficulties. Learn math anywhere, anytime with students from across India and abroad. ? 2013 ¨C 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in 1 Thank you! We appreciate your visiting MathBuster and downloading this study document. If you have any doubts or difficulties in solving these questions, send your queries to mathbusterforum@googlegroups.com Best of Luck! Q1. In the given figure, lines PQ and RS intersect at O. If 60POR QOT? ?? ? ? and 50QOS ,? ? ? find QOT? and reflex ROT? . Q2. In the given figure, AOB is a line. Ray OC is perpendicular to line AB. OD is another ray lying between rays OA and OC. Prove that 2 .COD BOD AOD? ? ? ?? Q3. It is given that ¡ÏABC = 74o and AB is produced to point X. Draw a figure from the given information. If ray BY bisects ¡ÏCBX, find ¡ÏABY and reflex ¡ÏYBX.
  • 2. MB0906: Lines and Angles Practice Worksheet ? 1350+ Videos; ? Well-detailed solutions to 3500+ problems ? Practice assignments Get FREE Help in Maths at www.mathbuster.in ? HOTS quizzes ? Self-assessment quizzes ? Model Test Papers ? Expert guidance by mathematicians Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy: 24 x 7 x 365 Access to high quality content to learn, practice and assess. 24 x 7 x 365 Question & Answer Forum to get the best help for your doubts and difficulties. Learn math anywhere, anytime with students from across India and abroad. ? 2013 ¨C 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in 2 Q4. In the given figure, if AB||CD, 140MXB? ? ? and 35MYC? ? ? ,find XMY? . Q5 A transversal intersects two parallel lines. Prove that the bisectors of their alternate interior angles are parallel. Q6. In given figure CD||EF and EF||GH. Also CG CD? .If 60FGH ,? ? ? find the values of ? , v and ? . Q7. In the given figure, if AB || DE ¡ÏABC = 120? and ¡ÏCDE = 120?, find ¡ÏBCD. [Hint: Draw a line parallel to DE through point C.]
  • 3. MB0906: Lines and Angles Practice Worksheet ? 1350+ Videos; ? Well-detailed solutions to 3500+ problems ? Practice assignments Get FREE Help in Maths at www.mathbuster.in ? HOTS quizzes ? Self-assessment quizzes ? Model Test Papers ? Expert guidance by mathematicians Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy: 24 x 7 x 365 Access to high quality content to learn, practice and assess. 24 x 7 x 365 Question & Answer Forum to get the best help for your doubts and difficulties. Learn math anywhere, anytime with students from across India and abroad. ? 2013 ¨C 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in 3 Q8. In given figure, if BD AC,? 50DBC? ? ? and 40EAC? ? ? , find u and v. Q9. In the given figure, if PQ|| ST, ¡ÏQPR = 30? and ¡ÏRST = 50?, find ¡ÏSRP. Q10. In the given figure, if AB ¡Í AC, AB || CD, ¡ÏCBD = 38? and ¡ÏBDE = 55?, then find the values of s and t.
  • 4. MB0906: Lines and Angles Practice Worksheet ? 1350+ Videos; ? Well-detailed solutions to 3500+ problems ? Practice assignments Get FREE Help in Maths at www.mathbuster.in ? HOTS quizzes ? Self-assessment quizzes ? Model Test Papers ? Expert guidance by mathematicians Buy Your Online Subscription Today (Starting at Rs. 199 per month) and Enjoy: 24 x 7 x 365 Access to high quality content to learn, practice and assess. 24 x 7 x 365 Question & Answer Forum to get the best help for your doubts and difficulties. Learn math anywhere, anytime with students from across India and abroad. ? 2013 ¨C 2018, ECPL, New Delhi. This document is part of the MathBuster online education program. All intellectual rights associated to this document directly or indirectly are owned by ECPL and any reproduction, derivation or distribution of this document in original or modified in full or parts, either in manual or electronic form is prohibited unless a written approval is obtained. This document has been downloaded from www.mathbuster.in for personal and non-commercial use. For any queries, contact math@elipsis.in 4 Q11. In the given figure, the side BC of ¦¤ABC is produced to a point D. If the bisectors of ¡ÏABC and ¡ÏACD meet at point E, then prove that 2¡ÏBEC=¡ÏBAC.