Question

Solve for x in the diagram below.

Answer 1

Since they are vertically opposite angles then we can set the two angles equal to each other.

$8x + 30 = 110$

Subtract 30 from both sides

$8x = 110 - 30 \\ 8x = 80$

Divide both sides by 8

$\frac{8x}{8} = \frac{80}{8} \\ x = 10$