Question

the sum of the interior angle measures of a convex polygon is 2160°. how many sides does it have?
number of sides =

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 convex polygon with \( n \) sides is \( S=(n - 2)\times180^{\circ} \), where \( S \) is the sum of the interior angles and \( n \) is the number of sides.

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

We know that \( S = 2160^{\circ} \). Substituting into the formula:

$$
LATEXBLOCK0
$$

Answer:

14