Find the value of a and b

Question

Answer 1

The properties of a parallelogram include:

1. opposite angles are congruent
2. opposite sides are congruent

Because of these two properties, we can write:

1. b + 11 = 32, so b = 21
2. a - 38 = 23, so a = 61

I hope this helps!

Karen Dekker

Answer 2

Since opposite sides are parallel, we know that the opposite angles are equal, and the opposite sides are of equal length. Therefore, we have:

a - 38 = 23

b + 11 = 32

Solving, we get:

a = 61

b = 21