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°, what is m∠xys?

Step-by-step explanation:

According to the question,

PQ ║ RS

And, PQ and RS are cut by the same transversal CD.

Then, By the alternative interior angle theorem,

The alternative interior angles made by the transversal CD on parallel lines PQ and RS must be congruent.

Thus,

⇒  ( by the property of congruent angles )

Here    

⇒

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: