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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.

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 class=

Respuesta :

Answer:

m∠EFB = 157°

Step-by-step 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:

D. 157°

Step-by-step 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°  

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