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: List known angles

Known angles: $90^\circ$, $58^\circ$, $x^\circ$.

Step3: Set up the equation

$x + 90 + 58 = 180$

Step4: Simplify and solve for x

$x = 180 - 90 - 58$
$x = 32$

Answer:

$32$