Question

1. find x if m∠xyz=(20x - 6)°

Explanation:

Step1: Set up equation

Since the sum of the angles that make up $\angle XYZ$ is equal to $\angle XYZ$, we have $(9x - 4)+(6x + 13)=20x-6$.

Step2: Simplify left - hand side

Combine like terms: $9x+6x-4 + 13=15x + 9$. So the equation becomes $15x+9 = 20x-6$.

Step3: Move terms with x to one side

Subtract $15x$ from both sides: $15x+9-15x=20x - 6-15x$, which gives $9 = 5x-6$.

Step4: Isolate x

Add 6 to both sides: $9 + 6=5x-6+6$, so $15 = 5x$. Then divide both sides by 5: $\frac{15}{5}=\frac{5x}{5}$, and $x = 3$.

Answer:

$x = 3$