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?

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23-04-2015
Mathematics

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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?

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Cclemenoidn Cclemenoidn · Answer 1 · 2015-04-23T22:32:06-04:00

Cclemenoidn Cclemenoidn

23-04-2015

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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