Question

a recent tornado damaged jacks house and left it a little distorted. a question on the insurance form asked, what shape is the house in? jack replied, an irregular convex pentagon. find the sum of the measures of the interior angles of the 5 - sided house using the polygon interior angle sum theorem. 900° 180° 540° 360°

Explanation:

Step1: Recall the formula

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

Step2: Substitute \(n = 5\)

Substitute \(n=5\) into the formula: \((5 - 2)\times180^{\circ}\).

Step3: Calculate

\((5 - 2)\times180^{\circ}=3\times180^{\circ}=540^{\circ}\)

Answer:

\(540^{\circ}\) (corresponding to the option \(540^{\circ}\))