the figure below represents \frac{17}{36} of a full circle. find the measure of the marked central angle.

Question

Accepted Answer

# Explanation:
## Step1: Recall the total degrees in a circle
A full - circle has $360^{\circ}$.
## Step2: Calculate the central angle
If the figure is $\frac{17}{36}$ of a full - circle, then the central angle $\theta$ is $\theta=\frac{17}{36}\times360^{\circ}$.
$$
\begin{align*}
\theta&=\frac{17\times360^{\circ}}{36}\
& = 17\times10^{\circ}\
&=170^{\circ}
\end{align*}
$$

# Answer:
$170$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the total degrees in a circle

Step2: Calculate the central angle

Answer: