Question

No.12 Determine the values of x and y that justifies the claim that QRST is a parallelogram

Geometry

Answer 1

Explanation:

We can set the equations equal to each other:

8x+13 = 11x-23

13 = 3x-23

3x = 36

x = 12

2y+12 = 4y-4

12 = 2y-4

2y = 16

y = 8

Hope this helps!

Answer 2

x = 12 , y = 8

Explanation:

if QRST is a parallelogram , then

• opposite angles and sides are congruent

then

∠ S = ∠ Q , that is

11x - 23 = 8x + 13 ( subtract 8x from both sides )

3x - 23 = 13 ( add 23 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

and

RS = QT

4y - 4 = 2y + 12 ( subtract 2y from both sides )

2y - 4 = 12 ( add 4 to both sides )

2y = 16 ( divide both sides by 2 )

y = 8