Question

1. what is the sum of the measures of the angles of a 25 - gon?

4,140°
25°
2,500°
360°

Explanation:

Step1: Recall the polygon - angle - sum formula

The sum of the interior angles of an $n$-sided polygon is given by the formula $(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.

Step2: Identify the value of $n$

Here, $n = 25$ (since it is a 25 - gon).

Step3: Calculate the sum of the angles

Substitute $n = 25$ into the formula: $(25- 2)\times180^{\circ}=23\times180^{\circ}=4140^{\circ}$.

Answer:

$4140^{\circ}$