Question

1. what is the sum of the measures of the interior angles of polygon qrst? 180° 720° 360° 90°

Explanation:

Step1: Identify the polygon type

Polygon QRST has 4 sides, so it is a quadrilateral.

Step2: Recall the formula for the sum of interior angles of a polygon

The formula for the sum of the interior angles of a polygon with \( n \) sides is \( (n - 2)\times180^{\circ} \). For a quadrilateral, \( n = 4 \).

Step3: Calculate the sum

Substitute \( n = 4 \) into the formula: \( (4 - 2)\times180^{\circ}=2\times180^{\circ} = 360^{\circ} \).

Answer:

\( 360^{\circ} \) (the option corresponding to \( 360^{\circ} \))