Question

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

Explanation:

Step1: Recall the triangle angle - sum property

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(50^{\circ}+72^{\circ}+x^{\circ}=180^{\circ}\).

Step2: Solve for \(x\)

First, add \(50\) and \(72\): \(50 + 72=122\). Then, the equation becomes \(122+x = 180\). Subtract \(122\) from both sides: \(x=180 - 122\).

Answer:

\(x = 58\)