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1-5 Angle relationships.ppt

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1. Adjacent angles have a common vertex and side but no interior points in common. Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees. 2. Vertical angles are formed by two intersecting lines and are congruent. Linear pairs are adjacent angles whose noncommon sides form opposite rays and are supplementary. 3. The document provides examples of finding missing angles based on properties such as being complementary, supplementary, vertical or corresponding angles.

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ANGLE RELATIONSHIPS SECTION 1-5 and 2-8 Jim Smith JCHS Spi.3.2.E
Special Pairs Of Angles Adjacent Angles Have A Common Vertex, A Common Side, But No Common Interior Points 1 2 1 2 A B C D E 4 5 6 Adjacent denotes position only
Complementary Angles Have A Sum Of 90° 9 10 Adjacent Complementary Angles 40° 50° Nonadjacent Complementary Angles
Supplementary Angles Have A Sum Of 180° 4 5 120° 60° Adjacent Supplementary Angles Nonadjacent Supplementary Angles
5° 95° 40° 130° NONE 82° 90° – X 180° - X Angle Complement Supplement 1. 85° _______ ________ 2. 50° _______ ________ 3. 98° _______ ________ 4. X° _______ ________
Vertical Angles Are Formed By 2 Intersecting Lines 6 7 8 9 Vertical Angles Are Congruent
Linear Pairs Are Adjacent Angles Whose Noncommon Sides Form Opposite Rays 7 8 1 2 3 4 Linear Pairs Are Supplementary
Find the value of x x x+25 3x+5 x+15 2x+8 5x- 22 x+18 3x+2 A B C ABC = 120° 1) 2) 3) 4)
ANSWERS 1) Comp Angles x+25+x = 90 2x+25 = 90 2x = 65 X = 32½° 2) Supp Angles 3x+5+x+15 = 180 4x+20 = 180 4x = 160 X = 40° 3) Vertical Angles 2x+8 = 5x-22 8 = 3x-22 30 = 3x X = 10 4) Angle Add Post X+18+3x+2 = 120 4x+20 = 120 4x = 100 X = 25

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1-5 Angle relationships.ppt

  • 1. ANGLE RELATIONSHIPS SECTION 1-5 and 2-8 Jim Smith JCHS Spi.3.2.E
  • 2. Special Pairs Of Angles Adjacent Angles Have A Common Vertex, A Common Side, But No Common Interior Points 1 2 1 2 A B C D E 4 5 6 Adjacent denotes position only
  • 3. Complementary Angles Have A Sum Of 90° 9 10 Adjacent Complementary Angles 40° 50° Nonadjacent Complementary Angles
  • 4. Supplementary Angles Have A Sum Of 180° 4 5 120° 60° Adjacent Supplementary Angles Nonadjacent Supplementary Angles
  • 5. 5° 95° 40° 130° NONE 82° 90° – X 180° - X Angle Complement Supplement 1. 85° _______ ________ 2. 50° _______ ________ 3. 98° _______ ________ 4. X° _______ ________
  • 6. Vertical Angles Are Formed By 2 Intersecting Lines 6 7 8 9 Vertical Angles Are Congruent
  • 7. Linear Pairs Are Adjacent Angles Whose Noncommon Sides Form Opposite Rays 7 8 1 2 3 4 Linear Pairs Are Supplementary
  • 8. Find the value of x x x+25 3x+5 x+15 2x+8 5x- 22 x+18 3x+2 A B C ABC = 120° 1) 2) 3) 4)
  • 9. ANSWERS 1) Comp Angles x+25+x = 90 2x+25 = 90 2x = 65 X = 32½° 2) Supp Angles 3x+5+x+15 = 180 4x+20 = 180 4x = 160 X = 40° 3) Vertical Angles 2x+8 = 5x-22 8 = 3x-22 30 = 3x X = 10 4) Angle Add Post X+18+3x+2 = 120 4x+20 = 120 4x = 100 X = 25