Question

Find x and y so that the quadrilateral is a parallelogram. Answer below and show work.

Answer 1

x = 2 , y = 29

Explanation:

if the quadrilateral is to be a parallelogram , then

• opposite sides are congruent

• opposite angles are congruent

Then

2x + 9 = x + 11 ( subtract x from both sides )

x + 9 = 11 ( subtract 9 from both sides )

x = 2

and

3y + 19 = 106 ( subtract 19 from both sides )

3y = 87 ( divide both sides by 3 )

y = 29