Question

in the figure below, (mangle wxz = 110^{circ}), and (mangle1) is four times (mangle2). find (mangle2).

Explanation:

Step1: Set up an equation

Let $m\angle2 = x$. Then $m\angle1 = 4x$. Since $m\angle WXZ=m\angle1 + m\angle2$ and $m\angle WXZ = 110^{\circ}$, we have the equation $4x+x=110$.

Step2: Combine like - terms

Combining the left - hand side of the equation $4x+x$, we get $5x = 110$.

Step3: Solve for x

Dividing both sides of the equation $5x = 110$ by 5, we have $x=\frac{110}{5}=22$.

Answer:

$22$