Question

1. (4 points) solve for the missing variables: a. 8x - 4 60°

Explanation:

Step1: Identify angle - relationship

The angle with measure $60^{\circ}$ and the angle with measure $8x - 4$ are vertical angles. Vertical angles are equal.

Step2: Set up equation

Set $8x-4 = 60$.

Step3: Solve for x

Add 4 to both sides of the equation: $8x-4 + 4=60 + 4$, which simplifies to $8x=64$. Then divide both sides by 8: $x=\frac{64}{8}=8$.

Answer:

$8$