In this post, I want to explain in details how to prove about congruent angles. In the diagram below, $latex \angle 1$ and $latex \angle 2$ are complementary angles. Also, $latex \angle 3$ and $latex \angle 4$ are complementary angles. Now, if $latex \angle 1$ is congruent to $latex \angle 3$, prove that $latex \angle 2$ is congruent to angle $latex \angle 4$.

**Proof**

From the problem above, we have the following facts (given).

$latex \angle 1$ and $latex \angle 2$ are complementary

$latex \angle 3$ and $latex \angle 4$ are complementary

$latex \angle 1 \cong \angle 3$

We want to prove that $latex \angle 2 \cong \angle 4$. Continue reading