Question

If 1 measures 135°, what is the measure of 6? (Lines b and c are parallel.)

65°
45°
135°
90°

Answer 1

45 degrees

Explanation:

135+135=270

360-270=90

90/2=45

your answer is 45 degrees

Answer 2

Explanation:

Two angles form linear pair if they are adjacent angles and their non common arms are opposite rays.

Corresponding angles: When two parallel lines are intersected by the transversal, the angles formed on the matching corners of the same side of the transversal are called corresponding angles.

∠1 + ∠2 = 180° {Linear pair}

135 + ∠2 = 180

∠2 = 180 - 135

∠2 = 45°

∠6 = ∠2 {Corresponding angles}

∠6 = 45°