### Home > CC3 > Chapter 9 > Lesson 9.1.2 > Problem 9-22

9-22.

Find the measures of the angles requested and explain how you found them. Each part is a separate problem.

If

, find.Angle 4 is supplementary with angle 2, which corresponds to angle 6. Since the lines cut by the transversal are parallel, corresponding angles are equal.

If

, find.Angle 1 and angle 4 are vertical angles, which are always equal. In addition, angle 4 and angle 8 are corresponding angles.

If

, find.Angle 2 and angle 6 are corresponding angles. Since the lines are parallel, they will have equal measure. Angle 6 and angle 8 are supplementary.