Look at the figure, PQRS. Find the values of x and y

Question

asked Jul 16, 2020 223k views

2 Answers

Proski · Answer 1 · 2020-07-21T06:54:31+0000

Answer:

Solution set is

$x=5\\y=7$

Explanation:

Given that in a picture there is a parallelogram PQRS

The diagonals PR and QS intersect at T

PT=x+2, TR=yQT=2x, TS = y+3

By properties of parallelograms we know that diagonals bisect each other

Using this we get

$PT=TR\\QT=TS\\x+2=y\\2x=y+3$

Substitute for y to get

$2x=x+2+3\\x=5\\y=7$

Solution set is

$x=5\\y=7$