Answer to Question #10818 in Geometry for Austin renfro

Question

Given parallelogram ABCD, describe the relationship between the measure of angle A and the measure of each of the other angles?

Answer 1

Let the measure of angle A be α. The opposite angles are equal, and we know that the sum of all angles is 2π. So, the angle C is α and the measure of other two angles B and D is (2π-2α)/2 = π-α.