Question

in the figure below, m∠1 = 57° and m∠2 = 85°. find m∠wxy.

Explanation:

Step1: Identify the angle - relationship

We can see that $\angle WXY=\angle1 + \angle2$.

Step2: Substitute the given values

Given $m\angle1 = 57^{\circ}$ and $m\angle2=85^{\circ}$, then $m\angle WXY=57^{\circ}+85^{\circ}$.

Step3: Calculate the sum

$57 + 85=142$, so $m\angle WXY = 142^{\circ}$.

Answer:

$142$