Question

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

Explanation:

Step1: Recall polygon - angle formula

The sum of the interior - angle measures of a polygon is given by the formula $(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.

Step2: Determine the number of sides

The polygon $QRST$ has $n = 4$ sides.

Step3: Calculate the sum of interior angles

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

Answer:

$360^{\circ}$