Question

two angles are supplementary if the sum of their measures is 180 degress. Find two supplementary angles such that the larger angle is 76 degrees more than 2 times the smaller angle.

Answer 1

Explanation

larger angle = 76+2x

smaller angle = x

supplementary angles add up to 180

∴(76+2x)+x=180

76+3x=180

3x= 180-76

3x = 104

x = 104/3

x = 34.7°(smaller angle)≈ 35

larger angle = 76+2(34.7)

=76+69.4

=145.4≈ 145