Question

in the figure below, m∠wxz = 65°, and m∠2 is four times m∠1. find m∠1.
m∠1 = °

Explanation:

Step1: Set up an equation

Let $m\angle1 = x$. Then $m\angle2 = 4x$. Since $m\angle WXZ=m\angle1 + m\angle2$ and $m\angle WXZ = 65^{\circ}$, we have the equation $x + 4x=65^{\circ}$.

Step2: Solve the equation

Combining like - terms, $5x = 65^{\circ}$. Divide both sides by 5: $x=\frac{65^{\circ}}{5}=13^{\circ}$.

Answer:

$13$