Use the conjectures and definitions in this lesson to solve parts (a) and (b). Each part is a separate problem.
, find and by calculation.
Angle 1 and angle 2 are alternate interior angles.
When the lines are parallel, alternate interior angles have equal measures.
and , write an equation and find .
Disregard your calculations for angle measure from part (a).
and , write an equation to find . Then find .
Since the lines are parallel, angles 1 and 2 have equal measure.