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The measure of an exterior angle of a triangle is 3x-5 degrees. The measure of the corresponding interior angle is 5x+17 degrees. What is the measure of the exterior angle?

Verified Answer :

things to remember the sum of the measures of the interior and exterior angles at each vertex is 180 (supplementary angles)

add and equal to 180

3x-5+5x+17= 180

8x+12=180

8x= 168

x=21

substitute in the algebraic expression for exterior angle

3(21) -5=
63-5=58

58 degrees is the exterior angle

hope this helps

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