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? °

Part a) m∠A=72°

Part b) m∠B=108°

Step-by-step explanation:

we know that

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

so

In this problem

m∠A=m∠C

m∠A+m∠B=180°

step 1

Find the value of y

m∠A=m∠C

substitute the given values

solve for y

step 2

Find the measure of angle A

m∠A=(5y-3)°

substitute the value of y

m∠A=(5(15)-3)=72°

step 3

Find the measure of angle B

m∠A+m∠B=180°

we have

m∠A=72°

substitute

72°+m∠B=180°

m∠B=180°-72°

m∠B=108°

yes

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