In a parallelogram ABCD, measure of angle D is 115 degree. Determine the measure of angle A and angle B.

In a parallelogram, the opposite angles are equal, and the sum of adjacent angles is always 180 degrees. Using these properties, let's solve the question step by step.

Given: Measure of angle D = 115 degrees.

Property of a parallelogram: Opposite angles are equal. Therefore, angle B = angle D = 115 degrees.

Another property of a parallelogram: The sum of adjacent angles is 180 degrees. So, angle D + angle A = 180 degrees.

Substituting the value of angle D: 115 degrees + angle A = 180 degrees.

Solving for angle A: angle A = 180 degrees - 115 degrees = 65 degrees.

Similarly, angle C is opposite to angle A and therefore: angle C = angle A = 65 degrees.

Final Answer:

Measure of angle A = 65 degrees.
Measure of angle B = 115 degrees.