Question

Parallelogram A B C D is shown. Sides A B and D C are parallel, and sides A D and B C are parallel. Angle C is (3 y + 27) degrees and angle A is (5 y minus 3) degrees. What is the measure of ∠A? ° What is the measure of ∠B? ° What is the length of segment EF? units

Answer 1

m<A = 72 degrees

m<B = 108 degrees

Explanation:

For the parallelogram ABCD

The sum of the opposite angle will be 180 degrees

Hence <A + <B = 180 and m<A = m<C

5y - 3 = 3y + 27

5y - 3y = 27 + 3

2y = 30

y = 30/2

y = 15

Get m<A

m<A = 5y - 3

m<A = 5(15)-3

m<A = 75 - 3

m<A = 72 degrees

Get m<B

From the equation above;

m<B = 180 - m<A

m<B = 180 - 72

m<B = 108degrees