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: Set up the equation

Let the right angle be $90^\circ$. So:
$$90 + 68 + x = 180$$

Step3: Simplify and solve for x

First calculate $90+68=158$. Then:
$$x = 180 - 158$$

Answer:

$22$