Question

in the figure below, m∠wxz = 65°, and m∠1 is 9° more than m∠2. find m∠2.

m∠2 = 0°

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Explanation:

Step1: Set up an equation

Let $m\angle2 = x$. Then $m\angle1=x + 9$. Since $m\angle WXZ=m\angle1 + m\angle2$ and $m\angle WXZ = 65^{\circ}$, we have the equation $x+(x + 9)=65$.

Step2: Simplify the equation

Combining like - terms, we get $2x+9 = 65$.

Step3: Solve for x

Subtract 9 from both sides: $2x=65 - 9=56$. Then divide both sides by 2: $x=\frac{56}{2}=28$.

Answer:

$28$