Question

1. in the picture shown below, the measure of angle wzy is 82° and the measure of angle xzy is 47°. what is the measure, in degrees, of angle wzx?

Explanation:

Step1: Identify angle - relationship

We know that $\angle WZY=\angle WZX+\angle XZY$.

Step2: Solve for $\angle WZX$

We can rewrite the equation as $\angle WZX=\angle WZY - \angle XZY$.
Substitute $\angle WZY = 82^{\circ}$ and $\angle XZY = 47^{\circ}$ into the equation: $\angle WZX=82^{\circ}- 47^{\circ}$.
$82 - 47=35$.

Answer:

$35^{\circ}$