The measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.
What is parallelogram?
Parallelogram is a 2D shape, having opposite sides parallel and equal. Also the opposite angles of parallelogram are congruent means equal.
We have,
A Parallelogram with,
Angle B = (2n + 15)° and,
Angle D = (3n - 5)°
So,
As mentioned above in the definition that the opposite angles of parallelogram are congruent means equal.
i.e.
Angle B = Angle D
i.e.
2n + 15 = 3n - 5
On solving we get,
20 = n
⇒ n = 20,
So,
Angle B = (2n + 15)° = (2 * 20 + 15)° = 55°
And,
Angle D = (3n - 5)° = (3 * 20 - 5)° = 55°
Hence, we can say that the measures of angle B and angle D of the given parallelogram will be 55°, i.e. option A.
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