The measures of angles B and D are option (a) ∠B = 55°; ∠D = 55°
What is a parallelogram?
A parallelogram is a shape whose opposite sides are parallel and congruent.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given; Angle B is (2 n + 15) degrees and angle D is (3 n minus 5) degrees.
The following is the step to determine the measures of angles B and D
We have,
angle B = 2n + 15
angle D = 3n - 5
The angles are opposite angles;
So,
angle B = angle D
This gives us;
2n + 15 = 3n - 5
Now Collect like terms;
3n - 2n = 15 + 5
n = 20
Then Substitute 20 for n in angle B = 2n + 15
angle B = 2 * 20 + 15
angle B = 55
Hence, the measures of angles B and D are option(a) ∠B = 55°; ∠D = 55°
Read more about parallelograms at:
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