Question

15 x w (15x - 7)° 72° z y m∠xyz = 95°

Explanation:

Step1: Set up angle equation

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

Step2: Simplify left side

Combine like terms: $72 - 7 + 15x = 65 + 15x$. So the equation is $65 + 15x = 95$.

Step3: Solve for x

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

Answer:

$x = 2$