Question

M∠AFD=90°.m∠AFB=31° .Find m∠CFEm.

 A. 31°

 B. 59°  C. 87°  D.  28°

Answer 1

I hope this helps you


m(AFB)=m(CFD)=31


m(BFC)=m(DFE)=b


2.31+b =90


62+b =90


b =90-62


b =28

Answer 2

Answer: The correct option is (B) 59°.

Step-by-step explanation: We are given that in the figure

`m\angle AFD=90^\circ,~~m\angle AFB=31^\circ,\\\\m\angle AFB=m\angle CFD,~~m\angle BFC=m\angle DFE.`

We are to find the measure of angle CFE.

From the figure, we have

`m\angle BFD=m\angle AFD-m\angle AFB=90^\circ-31^\circ=59^\circ.`

Also,

`m\angle CFE\\\\=m\angle CFD+m\angle DFE\\\\=m\angle CFD+m\angle BFC\\\\=m\angle BFD\\\\=59^\circ.`

Thus, the measure of angle CFE is 59°.

Option (B) is CORRECT.