Question

the diagram shows a convex polygon. what is the sum of the interior angle measures of this polygon?

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: Determine the number of sides of the polygon

The given polygon is a triangle, so \(n = 3\).

Step3: Calculate the sum of interior angles

Substitute \(n = 3\) into the formula: \(S=(3 - 2)\times180^{\circ}=1\times180^{\circ}=180^{\circ}\)

Answer:

\(180\)