Angle 2 will be 44 degrees because of vertical angles.
Angle 3 will be 106 degrees because of vertical angles again.
Angle 1 and Angle 4 are also vertical angles, but in order to get them, you have to add 106 degrees, Angle 1, and Angle 2. Or you can add 44 degrees, Angle 4, and Angle 3.
A Straight Angle (or also known as a line) equals 180 degrees. We already have 106 degrees and Angle 2 which is 44 degrees.
1.) x + 106 + 44 = 180
2.) x + 150 = 180
You add 106 and 44 together which gives us 150.
3.) x = 30
You subtract 150 from both sides to keep it even. And you get x = 30.
So, Angle 2 and Angle 4 is 39 degrees.
