Question

What is the measure of

Answer 1

Hey there! :)

Answer:

m∠A = 72°.

m<B = 108°.

Step-by-step explanation:

In a parallelogram, the opposite angles are congruent.

Therefore, we can set the two expressions equal to each other:

5y - 3 = 3y + 27

Add 3 to both sides:

5y = 3y + 30

Subtract 3y from both sides:

2y = 30

Divide both sides by 2:

y = 15

Substitute this value of y into an expression to solve for the measure of ∠A:

5(15) - 3 = 72°. m∠A = 72°.

In parallelograms, the neighboring angles are supplementary. Therefore:

m∠A + m∠B = 180°

72° + m∠B = 180°

m<B = 108°.