Question

What is the measure of angle AFR?O 124 degreesO 91 degreesO 13 degreesO 117 degrees

Answer 1

`124^(\circ)`

1) Note that in this diagram, we can see a pair of Vertical Angles therefore, we can tell that both are congruent to each other.

2) Having said that, we can write out an equation to find the value of x and then plug it into the expression that corresponds to the measure of angle AFR

`\begin{gathered} \angle AFR\cong\angle VFN \\ \\ 7x+33=9x+7 \\ 7x-9x+33=9x-9x+7 \\ -2x+33=7 \\ -2x+33-33=-33+7 \\ -2x=-26 \\ -(2x)/(-2)=-(26)/(-2) \\ x=13 \end{gathered}`

Now, the next step is to plug into the x-variable x=13:

`\begin{gathered} m\angle AFR=7(13)+33 \\ m\angle AFR=124^(\circ) \end{gathered}`

Hence, the answer is 124º