Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use triangles to find the sum of the interior angle measures of the po …

Question

use triangles to find the sum of the interior angle measures of the po
4
□°

Explanation:

Step1: Identify the polygon type

The figure is a quadrilateral (4 - sided polygon). A quadrilateral can be divided into \( 4 - 2=2 \) triangles.

Step2: Recall triangle interior angle sum

The sum of the interior angles of a triangle is \( 180^\circ \).

Step3: Calculate quadrilateral interior angle sum

Since a quadrilateral is made of 2 triangles, the sum of its interior angles is \( 2\times180^\circ = 360^\circ \).

Answer:

\( 360 \)