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?

Answer 1

Answer:

72 and 108 degrees respectively

Step-by-step explanation:

Given:

-->angle C=3y+27..................(1)

--->angle A=5y-3.................(2)

Solution:

In a parallelogram, opposite angles are equal...

Therefore, angle C=angle A & angleB=angleD

On equationg (1) and (2) in the way we proved above,

3y+27=5y-3

2y=30

y=15 degrees

Therefore, angle A=5(15)-3--->72 degrees=angle C

Lets take angle B and angle D as x(as angle D equals to angle B)

As we know, sum of all angles of a parallelogram are 360,

2x=360-72-72

2x=216 degrees

x=108 degrees

Therefore, angle B=108 degrees

PLEASE MARK BRAINIEST-->Typed everything myself

Answer 2

Answer:

Angle A = 72 and Angle B =108.