Question

The measure of angle D is 5 times the measure of angle E. The two angles are supplementary. Find the measure of each angle

Answer 1

angle e = x        angle d = 5x    supplementary means they add up to 180
x + 5x =180
6x = 180
6x/6 = 180/6
x = 30
so angle e = 30 and angle d = 5(30) = 150

Answer 2

Measure of each angle is equals to 30° and 150°.

What are supplementary angles?

" Supplementary are those angles whose sum is equals to 180°."

According to the question,

Let 'x' be the measure of one angle.

Therefore, measure of second angle = 5x

As angles are supplementary

⇒ x + 5x = 180°

⇒ 6x = 180°

⇒ x = 30°

Therefore, 5x = 5 × 30°

                        = 150°

Hence , the measure of each angle is equals to 30° and 150°.

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