Question

1.5 triangles
score: 8.33/16 answered: 10/16
question 12
what is the sum of the measures of the interior angles of a polygon with 14 sides?

Explanation:

Step - by - Step Format:

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

The formula for the sum of the interior angles of a polygon is \(S=(n - 2)\times180^{\circ}\), where \(n\) is the number of sides of the polygon.

Step2: Substitute \(n = 14\) into the formula

When \(n = 14\), we have \(S=(14 - 2)\times180^{\circ}\).
First, calculate \(14−2=12\).
Then, \(S = 12\times180^{\circ}\).
\(12\times180^{\circ}=2160^{\circ}\)

Answer:

\(2160\)