Question

what is the measure of $angle x$, in degrees, in the figure shown?
$mangle x = \square ^\circ$
need help?

Explanation:

Step1: Identify vertical angle

The 45° angle has a vertical angle inside the triangle, so that angle is also $45^\circ$.

Step2: Use exterior angle theorem

The exterior angle $x$ equals the sum of the two remote interior angles.
$x = 45^\circ - 22^\circ$

Answer:

$23$