Question

How to find angles on two Line intersect

Answer 1

Hello!

Vertical angles are always congruent

This means that 3x - 35 = 130

We can solve this algebraically

3x - 35 = 130

Add 35 to both sides

3x = 165

Divide both sides by 3

x = 55

The angle AOB and AOC are supplementary which means they add to 180

First we have to find what angle AOB equals

3(55) - 35 = 130

We can subtract 180 by this number to get angle AOC

180 - 130 = 50

Angle AOC is 50

The answers are x = 55 and AOC = 50

Hope this helps!