Question

PLEASE HELP!!
Write a paragraph to proof to show that if <1 and <2 are congruent supplementary angles, then <1 and <2 are right angles

Answer 1

Answer:

Step-by-step explanation:

Supplementary angles are two or more angles whose the addition of their measures add up to $180^{o}$.

Given: <1 and <2.

<1 + <2 =  $180^{o}$ (supplementary angles)

If <1 ≅ <2 (congruent property), then we have;

<1 + <1 =  $180^{o}$

2<1 =  $180^{o}$

<1 = $\frac{180}{2}$

   = $90^{o}$

<1 = $90^{o}$

So that since <1 and <2 are congruent, then;

<1 ≅ <2 ≅ $90^{o}$

Therefore if <1 and <2 are supplementary and congruent, then they are right angles.