Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is $180^\circ$.

Step2: Set up the equation

$x + 31 + 109 = 180$

Step3: Simplify and solve for x

First calculate $31 + 109 = 140$, then $x = 180 - 140$

Answer:

$40$