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M7L1 example

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The measures of the angles in a triangle are in the ratio 2:2:5. To find the actual angle measures, an equation is set up where the sum of the angles equals 180 degrees. The equation 9x=180 is solved to get x=20. Then x=20 is substituted back into the original ratio to determine the three angle measures are 100 degrees, 40 degrees, and 40 degrees.

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Triangle Ratio Example
The measures of the angles in a triangle are in the extended ratio of 2:2:5. Find the measures of the angles. Draw a Picture, label the angles 5x 2x 2x
Set up your equation The angles in a triangle always add to 180 so: 2x +2x + 5x = 180
Solve 2x +2x +5x =180 9x=180 x=20
Substitute The problem wants the angles, not x. Plug in x=20 into your angles. 5x=5(20)=100 2x=2(20)=40 2x=2(20)=40
Answer Your angle measures are 100属, 40属, and 40属

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