Use the image to answer the question.
Angles upper A upper B upper C and upper D upper E upper F. Both angles are congruent. An arc joins points upper C and upper B. Another arc joins upper E and upper F. A third, smaller arc passes through upper F.
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?
(1 point)
Responses
The measure of ∠CAB is 118 inches.
The measure of angle upper C upper A upper B is 118 inches.
The measure of ∠CAB is 59 inches.
The measure of angle upper C upper A upper B is 59 inches.
The measure of ∠CAB is 118°.
The measure of angle upper C upper A upper B is 118 degrees .
The measure of ∠CAB is 59°.
The correct answer is: The measure of ∠CAB is 59°.
The measure of ∠CAB is 59°.
To answer this question, we can use the fact that angles that are congruent have the same measure.
Fernanda constructed ∠CAB and labeled it as ∠FDE. She measured ∠FDE to be 59°. Since ∠CAB and ∠FDE are congruent, the measure of ∠CAB is also 59°.
Therefore, the correct answer is:
The measure of ∠CAB is 59°.