141k views
5 votes
The intersection of parallel lines b and c and transversal line d form several special angle relationships, as shown in the image below.

If ∠1 measures 135°, what is the measure of ∠6?

90°
135°
45°
65°

User Dattaya
by
8.0k points

1 Answer

3 votes

Answer:

Based on the given information, if ∠1 measures 135°, the measure of ∠6 would be 45°. This is because ∠1 and ∠6 are corresponding angles formed by the transversal line d intersecting parallel lines b and c. Corresponding angles are congruent when formed by a transversal intersecting parallel lines, meaning that they have the same measure. Therefore, if ∠1 measures 135°, ∠6 must also measure 135°.

User Ajay Tom George
by
9.5k points