the sum of the angle measures of a polygon with n sides is 720. find n.
n = \square

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for the sum of interior angles of a polygon.
The formula for the sum of the interior angle measures of a polygon with $ n $ sides is $ S=(n - 2)\times180^{\circ} $, where $ S $ is the sum of the interior angles.
## Step2: Substitute the given sum into the formula and solve for $ n $.
We know that $ S = 720^{\circ} $, so we substitute this into the formula:
$$
\begin{align*}
720&=(n - 2)\times180\
\frac{720}{180}&=n - 2\
4&=n - 2\
n&=4 + 2\
n&=6
\end{align*}
$$
# Answer:
$ n = 6 $

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Question

Explanation:

Step1: Recall the formula for the sum of interior angles of a polygon.

Step2: Substitute the given sum into the formula and solve for \( n \).

Answer: