Question

give that angle CFE is congruent to CFA, the measure of angle AFB = 23° and the measure of angle EFD = 69°, find the measure of angle EFB.

Answer 1

m∠EFB = 157°

Explanation:

We are given that m∠CFE = 90°

m∠AFB = 23° so;

m∠BFC = 90° - 23° = 67°

m∠EFB = m∠CFE + m∠BFC = 90° + 67° = 157°

Answer 2

D. 157°

Explanation:

Angle CFE is a right angle, as can be seen in the figure. So, m∠CFE = 90°. Two angles are congruent when they are equal. This means that angle CFE is equal to CFA, i. e., m∠CFA = 90°. Figure shown that m∠AFB + m∠BFC = m∠CFA. If m∠AFB = 23°, then, m∠BFC = 67°. It's also shown in the figure that m∠EFB = m∠CFE + m∠BFC. So, m∠EFB = 90° + 67° = 157°