Question

in the figure below, m∠wxz = 74°, and m∠2 is 6° more than m∠1. find m∠1.

Explanation:

Step1: Set up an equation

Let $m\angle1 = x$. Then $m\angle2=x + 6$. Since $m\angle WXZ=m\angle1 + m\angle2$ and $m\angle WXZ = 74^{\circ}$, we have the equation $x+(x + 6)=74$.

Step2: Simplify the equation

Combining like - terms, we get $2x+6 = 74$.

Step3: Solve for x

Subtract 6 from both sides: $2x=74 - 6=68$. Then divide both sides by 2: $x=\frac{68}{2}=34$.

Answer:

$34$