Question

Parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are alternate interior angles with angle 3?

a) Angle 5 and Angle 13
b) Angle 7 and Angle 15
c) Angle 6 and Angle 16
d) Angle 8 and Angle 14

Answer 1

Angle 7 and Angle 15 are the alternate interior angles with angle 3, positioned on opposite sides of the transversal and between the parallel lines.

Step-by-step explanation:

The angles that are alternate interior angles with angle 3 and parallel lines r and s cut by transversals t and u are Angle 7 and Angle 15. These angles are non-adjacent and lie between the two lines on opposite sides of the transversal. In situations like this, alternate interior angles are congruent when the lines cut by the transversals are parallel.