Question

1. what is the sum of the interior angles of this pentagon?

540°
360°
900°
180°

Explanation:

Step1: Recall polygon angle formula

The sum of interior angles of an $n$-sided polygon is given by $(n-2)\times180^\circ$.

Step2: Identify $n$ for pentagon

A pentagon has $n=5$ sides.

Step3: Calculate the sum

Substitute $n=5$ into the formula:
$$(5-2)\times180^\circ = 3\times180^\circ = 540^\circ$$

Answer:

A. $540^\circ$