For the given parallelogram, the measure of angle B is 65° and the measure of angle D is 65°. The answer is the third option.
Quadrilaterals
There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, for a parallelogram, its the opposite sides are equal and parallel. For a parallelogram is noted too that the opposite angles are equal.
The question gives the values of the angle B and D in function of n.
Therefore, considering that the opposite angles of the parallelogram (ABCD) are equal, so D=B. Thus,
6n-25=3n+20
6n-3n=20+25
3n=45
n=15°
Replacing the value of n in each angle (B and D). Then,
D=6n-25= 6*15-25= 90-25= 65°
B=3n+20= 3*15+20= 45+20 = 65°
Read more about the parallelogram here:
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