Question

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

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, $x + 57+90=180$.

Step2: Simplify the left - hand side of the equation

$x + 147=180$.

Step3: Solve for x

Subtract 147 from both sides: $x=180 - 147$.
$x = 33$.

Answer:

33