Question

Transversal CD←→ cuts parallel lines PQ←→ and RS←→ at points X and Y, respectively.

Points P and R lie on one side of CD←→, while Q and S lie on the other side.
If m∠PXY = 64.36°, solve for m∠XYS.

A.) 180°
B.) 115.64°
C.) 64.36°
D.) 25.64°

Answer 1

for plato- its A.)64.36

they put C. which is right answer just the wrong letter :)

Answer 2

The correct answer is:

C.) 64.36°

Step-by-step explanation:

As it is described, ∠PXY and ∠XYS are alternate interior angles. They are between the parallel lines and on opposite sides of the transversal.

The alternate interior angles theorem tells us that alternate interior angles are congruent. This means that if m∠PXY = 64.36°, then m∠XYS must also be 64.36°.