Question

Two angles whose sum is 180° are supplementary angles. find the measure of the supplementary angle shown in the figure

Answer 1

Explanation:

together they are 180°.

so,

(11x + 2) + (8x + 7) = 180

11x + 2 + 8x + 7 = 180

19x + 9 = 180

19x = 171

x = 171/19 = 9

and the angles are

(11x + 2) = 11×9 + 2 = 99 + 2 = 101°

(8x + 7) = 8×9 + 7 = 72 + 7 = 79°

Answer 2

(11x+2)+(8x+7)=180° (sum of the angles)

Solve for x
11x+2+8x+7=180
19x+9=180
19x=171
x=9

Let’s find the angles:
Angle 1 = 11*9+2=101°
Angle 2 = 8*9+7=79°