what is the measure of angle afe?
70°
81°
91°
99°

Question

Accepted Answer

# Explanation:
## Step1: Recall the sum of exterior angles of a polygon
The sum of exterior angles of any polygon is $360^{\circ}$.
## Step2: Set up the equation
Let $\angle AFE = x$. Then $x + 52^{\circ}+44^{\circ}+70^{\circ}+60^{\circ}+43^{\circ}=360^{\circ}$
## Step3: Solve for $x$
$$
\begin{align*}
x&=360^{\circ}-(52^{\circ}+44^{\circ}+70^{\circ}+60^{\circ}+43^{\circ})\
&=360^{\circ}-(52 + 44+70+60+43)^{\circ}\
&=360^{\circ}-269^{\circ}\
&=91^{\circ}
\end{align*}
$$

# Answer:
$91^{\circ}$ (corresponding to the option $91^{\circ}$)

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the sum of exterior angles of a polygon

Step2: Set up the equation

Step3: Solve for \(x\)

Answer: