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

$x + 74 + 42 = 180$

Step3: Sum known angles

$74 + 42 = 116$

Step4: Solve for x

$x = 180 - 116$

Answer:

$x = 64$