Question

PLEASE HELP ITS MATH!!!!

This triangle has one side that lies on an extended line segment. Based on this triangle, what statement about x is true? A. x = 27 because 180−109−44=27 B. x = 65 because 109−44=65 and 44 + 65 = 109 C. x = 71 because 180−109=71 D. x = 153 because 109 + 44 = 153 and 153−44=109


MEASUREMENTS (down below)


A triangle with base on an extended line. Two angle measures are given. Top interior angle is forty-four degrees. Lower right exterior angle is one hundred nine degrees. Lower left interior angle is labeled x degrees.

Answer 1

B. x = 65 because 109−44=65 and 44 + 65 = 109

Explanation:

Given :

The triangle below :

Sum of interior angles of a triangle :

(44° + x + (180 - 109) = 180°

44° + x + 71° = 180

115° + x = 180°

x = 180° - 115°

x = 65°