Question

Two supplementary angles are congruent. Which equation gives the measure in degrees, d, of each angle?

Answer 1

In this problem, d=degrees per angle. Supplementary angles are any 2 angles that add up to 180. Because both angles are congruent in this question, they both equal the same thing, so 180 ÷ 2 = d. In algebraic form, it is 2d=180.

Answer:

2d=180

Answer 2

Solution:

The given statement is :Two supplementary angles are congruent.

Two angles are said to be supplementary if sum of these two angles is 180°.

Let one Angle be A, then another angle will be 180 - A.

As given:

A≅180-A

A=180 -A

A +A= 180

2 A = 180

Dividing both sides by 2, we get

A= 90°

The Measure of each angle will be of 90°.

i.e , d = 90°