Question

find the sum of the interior angle measures of a convex 20 - gon (a twenty - sided polygon). sum of the interior angle measures = ^{circ}

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.

Step2: Substitute \(n = 20\) into the formula

Substitute \(n=20\) into \(S=(n - 2)\times180^{\circ}\), we get \(S=(20 - 2)\times180^{\circ}\).
First, calculate \(20-2 = 18\).
Then, calculate \(18\times180^{\circ}=3240^{\circ}\).

Answer:

\(3240\)