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°

The correct answer is:

C.) 64.36°

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°.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

the answer is d on edge

step-by-step explanation: