Question

inding Congruent Angles
Use the diagram to answer the question.

Parallel lines a and b are crossed by transversal t to create 8 angles. Clockwise from top left, the angles are blank, blank, 2, 1; 3, 4, 6, 5.

If m Angle1 = 45°, which other angles have a measure of 45°? Check all that apply.
Angle2
Angle3
Angle4
Angle5
Angle6

Answer 1

Angle 4 and Angle 5.

Reason: Angle 5 is the corresponding angle to Angle 1, so it equals 45°. Angle 4 is an alternate interior angle to Angle 1, so it also equals 45°. Angles 2, 3, and 6 are supplements (180° − 45° = 135°).