Question

Find the measure of angle DEG.

Answer 1

ANSWER

$44 \degree$


EXPLANATION

The sum of the exterior angles of a polygon is
$360 \degree$


So we sum all the exterior angles to obtain,

$\: < \: DEG +61 + 88 + 52 + 115 = 360$


This implies that,

$\: < \: DEG + 316 = 360$


We group like terms to obtain,

$\: < \: DEG = 360 - 316$

This simplifies to,

$\: < \: DEG = 44 \degree$


Therefore the correct answer is option B.