Question

5 x w 50° (3x + 14)° y z m∠xyz = 70°

Explanation:

Step1: Set up angle equation

The measure of $\angle XYZ$ is the sum of the 50° angle and the $(3x + 14)°$ angle. So we have the equation: $50 + (3x + 14) = 70$.

Step2: Simplify the left side

Combine like terms: $3x + 64 = 70$.

Step3: Solve for x

Subtract 64 from both sides: $3x = 70 - 64 = 6$. Then divide both sides by 3: $x = \frac{6}{3} = 2$.

Answer:

$x = 2$