Question

find $m\angle wvx$.
answer
$m\angle wvx = \square$

Explanation:

Step1: Identify triangle type

Triangle $XWV$ is isosceles, since $\overline{XW} = \overline{WV}$ (marked congruent).

Step2: Define base angles

In isosceles $\triangle XWV$, base angles $\angle WXV$ and $\angle WVX$ are equal. Let $m\angle WVX = x$.

Step3: Sum of triangle angles

The sum of angles in a triangle is $180^\circ$.
$$37^\circ + x + x = 180^\circ$$

Step4: Simplify and solve for x

$$37^\circ + 2x = 180^\circ$$
$$2x = 180^\circ - 37^\circ = 143^\circ$$
$$x = \frac{143^\circ}{2} = 71.5^\circ$$

Answer:

$71.5^\circ$