Question

in the figure below, m∠wxz = 112°, and m∠2 is three times m∠1. find m∠1.

Explanation:

Step1: Set up equation

Let $m\angle1 = x$. Then $m\angle2=3x$. Since $m\angle WXZ=m\angle1 + m\angle2$ and $m\angle WXZ = 112^{\circ}$, we have the equation $x + 3x=112$.

Step2: Combine like - terms

Combining the left - hand side of the equation $x + 3x=112$, we get $4x = 112$.

Step3: Solve for x

Dividing both sides of the equation $4x = 112$ by 4, we have $x=\frac{112}{4}=28$.

Answer:

$28$