Question

in the figure below, m∠wxz = 70°, and m∠2 is three times m∠1. find m∠1

Explanation:

Step1: Set up an equation

Let $m\angle1 = x$. Then $m\angle2=3x$. Since $m\angle WXZ=m\angle1 + m\angle2$ and $m\angle WXZ = 70^{\circ}$, we have the equation $x + 3x=70$.

Step2: Combine like - terms

Combining the left - hand side of the equation $x + 3x=70$, we get $4x=70$.

Step3: Solve for x

Dividing both sides of the equation $4x = 70$ by 4, we have $x=\frac{70}{4}=17.5$.

Answer:

$17.5$