Find the angles of parallelogram ABCD if you know that angle A is 3 times greater than angle B.

Given:
ABCD – parallelogram,
angle A = 3 * angle B.
Find the degree measures of the angles of the parallelogram ABCD: angle A, angle B, angle C, angle D -?
Decision:
Consider a parallelogram ABCD. Its opposite angles are equal to each other, then angle A = angle C, angle B = angle D.
Let the degree measure of angle B be equal to x degrees, then the degree measure of angle A is equal to 3 * x degrees. We know that the sum of the degree measures of a parallelogram is 360 degrees. Let’s make the equation:
x + x + 3 * x + 3 * x = 360;
x * (1 + 1 + 3 + 3) = 360;
x * 8 = 360;
x = 360: 8;
x = 45 degrees – the degree measure of the angle B;
45 * 3 = 135 degrees – the degree measure of angle A.
Answer: 135 degrees; 45 degrees; 135 degrees; 45 degrees.