Question

what is the sum of measures of the interior angles of the quadrilateral?
a. 180°
b. 360°
c. 540°
d. 720°
e. 1080°

Explanation:

Step1: Recall angle - sum formula

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

Step2: Identify $n$ for a quadrilateral

A quadrilateral has $n = 4$ sides.

Step3: Calculate the sum

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

Answer:

B. $360^{\circ}$