n and m are congruent and supplementary. prove n and m are right angles

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n and m are congruent and supplementary. prove n and m are right angles

Given:

• n and m are congruent
• n and m are supplementary

If n and m are supplementary, that means we have the equation:
m + n = 180

We're also given n and m are congruent, meaning they are equal. So we can substitute n = m into the supplementary equation:
m + m = 180

To solve this equation for m, we type it in our search engine and we get:
m = 90

This means m = 90, n = 90, which means they are both right angles since by definition, a right angle is 90 degrees.