Question

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

Explanation:

Step1: Use triangle angle sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \(x + 52+90=180\).

Step2: Simplify the equation

\(x+142 = 180\).

Step3: Solve for \(x\)

Subtract \(142\) from both sides: \(x=180 - 142\).

Answer:

\(x = 38\)