q.13 interior angles of polygons
what is the sum of the angle measures in this shape?

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for the sum of interior angles
The formula for the sum of interior angles of a polygon is $S=(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.
## Step2: Determine the number of sides of the polygon
The given polygon is a hexagon. A hexagon has $n = 6$ sides.
## Step3: Substitute $n = 6$ into the formula
$$
\begin{align*}
S&=(6 - 2)\times180^{\circ}\
&=4\times180^{\circ}\
&=720^{\circ}
\end{align*}
$$

# Answer:
$720$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for the sum of interior angles

Step2: Determine the number of sides of the polygon

Step3: Substitute \(n = 6\) into the formula

Answer: