Question

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

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, $x + 64^{\circ}+90^{\circ}=180^{\circ}$.

Step2: Simplify the equation

$x+154^{\circ}=180^{\circ}$.

Step3: Solve for x

Subtract 154° from both sides: $x = 180^{\circ}-154^{\circ}$.

Answer:

$x = 26^{\circ}$