Question

15
x
y
w
z
72°
(15x - 7)°
m∠xyz = 95°

Explanation:

Step1: Set up the angle equation

The measure of $\angle XYZ$ is the sum of $\angle XYW$ and $\angle WYZ$. So we have the equation: $72 + (15x - 7)=95$.

Step2: Simplify the left - hand side

Simplify $72+(15x - 7)$: $72 - 7+15x=65 + 15x$. So the equation becomes $65 + 15x=95$.

Step3: Solve for x

Subtract 65 from both sides: $15x=95 - 65$. Calculate $95 - 65 = 30$, so $15x = 30$. Then divide both sides by 15: $x=\frac{30}{15}=2$.

Answer:

$x = 2$