Respuesta :

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:  The correct option is (B) 59°.

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

[tex]m\angle AFD=90^\circ,~~m\angle AFB=31^\circ,\\\\m\angle AFB=m\angle CFD,~~m\angle BFC=m\angle DFE.[/tex]

We are to find the measure of angle CFE.

From the figure, we have

[tex]m\angle BFD=m\angle AFD-m\angle AFB=90^\circ-31^\circ=59^\circ.[/tex]

Also,

[tex]m\angle CFE\\\\=m\angle CFD+m\angle DFE\\\\=m\angle CFD+m\angle BFC\\\\=m\angle BFD\\\\=59^\circ.[/tex]

Thus, the measure of angle CFE is 59°.

Option (B) is CORRECT.

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