Question

ABCD is a parallelogram. Determine the measure of ∠B.

Question 19 options:
A) 52°

B) 96°

C) 39°

D) 78°

Answer 1

I think the answer should be D)

because both sides should be equal to each other, and if you take 78/3, it equals 28, and 28+52=78, so both sides equal 78, which makes it D

Answer 2

D

Explanation:

In parallelogram, opposite angles are congruent.

m∠B = m∠D

3x = x + 52 {Subtract x from both sides}

3x - x = 52 {Combine like terms}

2x = 52 {Divide both sides by 2}

x = 52/2

x = 26

m∠B = 3x = 3*26 = 78