Question

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

Explanation:

Step1: Recall the sum of triangle angles

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

We have \(x + 58+90=180\) (since one angle is a right - angle \(90^{\circ}\)).

Step3: Solve for \(x\)

Simplify the left - hand side: \(x+148 = 180\).
Subtract \(148\) from both sides: \(x=180 - 148\).

Answer:

\(x = 32\)