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 \(180^\circ\). So, \(x + 74^\circ + 52^\circ = 180^\circ\).

Step2: Simplify and solve for x

First, add \(74^\circ\) and \(52^\circ\): \(74 + 52 = 126\). Then, \(x + 126^\circ = 180^\circ\). Subtract \(126^\circ\) from both sides: \(x = 180^\circ - 126^\circ = 54^\circ\).

Answer:

\(54\)