Question

in the figure below, m∠wxz = 108°, and m∠1 is three times m∠2. find m∠2.

Explanation:

Step1: Set up an equation

Let $m\angle2 = x$. Then $m\angle1=3x$. Since $m\angle WXZ=m\angle1 + m\angle2$ and $m\angle WXZ = 108^{\circ}$, we have the equation $3x + x=108$.

Step2: Combine like - terms

Combining the left - hand side of the equation $3x + x$, we get $4x = 108$.

Step3: Solve for x

Dividing both sides of the equation $4x = 108$ by 4, we have $x=\frac{108}{4}=27$.

Answer:

$27^{\circ}$