Question

I need a answer and explaination.

Answer 1

x = 33°

Explanation:

Vertically opposite angles:

Vertically opposite angles are congruent.

∠AOB = ∠DOC

4x - 6 = 2x + 60

Add 6 to both sides,

4x = 2x + 60 + 6

4x = 2x + 66

Subtract 2x from both sides,

4x - 2x = 66

2x = 66

Divide both sides by 2

x = 66 ÷ 2

`\boxed{x = 33}`

∠AOB = 4x - 6

= 4*33 -6

= 132 - 6

∠AOB = 126°

∠DOC = 126°