The sum of the internal angle is 360 degrees. Then the measure of angle B is 115°.
What is a parallelogram?
It is a polygon that has four sides. In a parallelogram, opposite sides are parallel and equal. And its diagonals intersect at mid-point.
The quadrilateral shown is a parallelogram. The angle A is 65°.
∠D and ∠B are equal because they are alternate angles.
∠A and ∠C are equal because they are alternate angles.
Then the sum of the internal angle is 360 degrees.
∠A + ∠B + ∠C + ∠D = 360
∠A + ∠B + ∠A + ∠B = 360
∠A + ∠B = 180
∠B = 180 - 65
∠B = 115
Thus, the measure of angle B is 115°.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
