Question

in the figure below, m∠1 = 47° and m∠xwz = 75°. find m∠2.

Explanation:

Step1: Identify angle - addition relationship

We know that $\angle XWZ=\angle1 + \angle2$.

Step2: Solve for $\angle2$

We can rewrite the equation as $\angle2=\angle XWZ-\angle1$.
Substitute $\angle1 = 47^{\circ}$ and $\angle XWZ = 75^{\circ}$ into the equation: $\angle2=75^{\circ}- 47^{\circ}$.
$\angle2 = 28^{\circ}$

Answer:

$28$