Question

solve for m∠xvw if m∠uvw = 81° and m∠uvx = 37°.

Explanation:

Step1: Identify angle - relationship

We know that $\angle UVW=\angle UVX + \angle XVW$.

Step2: Rearrange the formula to solve for $\angle XVW$

$\angle XVW=\angle UVW-\angle UVX$.

Step3: Substitute the given values

Given $\angle UVW = 81^{\circ}$ and $\angle UVX=37^{\circ}$, then $\angle XVW=81^{\circ}- 37^{\circ}$.
$\angle XVW = 44^{\circ}$

Answer:

$44^{\circ}$