Fernanda constructed ∠CAB. She then constructed a copy of ∠CAB and labeled it as ∠FDE.

Question

Fernanda constructed ∠CAB. She then constructed a copy of ∠CAB and labeled it as ∠FDE.

Fernanda measures ∠FDE to be 59°.

What is the measure of the original angle, ∠CAB, she constructed?

GPT-4o mini · Answer

Since Fernanda constructed a copy of $\angle CAB$ and labeled it as $\angle FDE$, the two angles are congruent. This means that the measure of $\angle CAB$ is the same as the measure of $\angle FDE$. Given that $\angle FDE$ measures $59^\circ$, we can conclude that: $$ \text{Measure of } \angle CAB = 59^\circ $$ Therefore, the measure of the original angle $\angle CAB$ that Fernanda constructed is $59^\circ$.