Suppose that when two straight lines intersect, the third one of the resulting angles is 82 degrees

Suppose that when two straight lines intersect, the third one of the resulting angles is 82 degrees, and another one is 110 degrees. Find the remaining angles.

Let angle 5 = 82 degrees and angle 3 = 110 degrees. Then angle 3 = angle 1 = 110 degrees the way they are vertical. Angle 2 = 180 degrees – 110 degrees = 70 degrees as they are adjacent. Angle 2 = Angle 4 = 70 degrees as vertical. Angle 5 = Angle 7 = 82 degrees as they are vertical. Angle 8 = 180 degrees – 82 degrees = 98 degrees as they are adjacent. Angle 8 = Angle 6 = 98 degrees as they are vertical.