3 years ago

For what values of x and y is PQRS and parallelogram

Mathematics

1 answer:

LiRa [457]3 years ago

5 0

Answer:

x = 2

y = 3

Step-by-step explanation:

Measures of opposite sides of a parallelogram are equal.

Therefore,

PQ = SR

2y + 2 = y + 5

2y - y = 5 - 2

y = 3

QR = PS

2x + 3 = y + 4

2x + 3 = 3 + 4 (y = 3)

2x = 7 - 3

2x = 4

x = 4/2

x = 2

Thus, for x = 2 and y = 3, PQRS is a parallelogram.

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