Question

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. Angle B is (2 n + 15) degrees and angle D is (3 n minus 5) degrees.

What are the measures of angles B and D?

∠B = 55°; ∠D = 55°
∠B = 55°; ∠D = 125°
∠B = 97°; ∠D = 97°
∠B = 83°; ∠D = 97°

Answer 1

Answer:

A. ∠B = 55°; ∠D = 55°

Step-by-step explanation:

Hope this helps :)

Answer 2

The measures of angles B and D are (a) ∠B = 55°; ∠D = 55°

What is a parallelogram?

A parallelogram is a shape whose opposite sides are parallel and congruent

The following is the step to determine the measures of angles B and D

We have:

B = 2n + 15

D = 3n - 5

The angles are opposite angles.

So, we have:

B = D

This gives

2n + 15 = 3n - 5

Collect like terms

3n - 2n = 15 + 5

n = 20

Substitute 20 for n in B = 2n + 15

B = 2 * 20 + 15

B = 55

Hence, the measures of angles B and D are (a) ∠B = 55°; ∠D = 55°

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