Question

in the figure below, m∠wxz = 81°, and m∠1 is 1° more than m∠2. find m∠2.

Explanation:

Step1: Set up equations

Let $m\angle2 = x$. Then $m\angle1=x + 1$. Since $m\angle WXZ=m\angle1 + m\angle2$ and $m\angle WXZ = 81^{\circ}$, we have the equation $x+(x + 1)=81$.

Step2: Simplify the equation

Combine like - terms: $2x+1 = 81$.

Step3: Solve for $x$

Subtract 1 from both sides: $2x=81 - 1=80$. Then divide both sides by 2: $x=\frac{80}{2}=40$.

Answer:

$40$