The magnitude of one of the angles of the parallelogram is 55 degrees. Find the values of the remaining

The magnitude of one of the angles of the parallelogram is 55 degrees. Find the values of the remaining angles of the parallelogram.

Given:
ABCE – parallelogram,
angle A = 55 degrees.
Find the degree measures of the angles of the parallelogram ABCE: angle B, angle C, angle E -?
Solution:
Consider a parallelogram ABCE. Its opposite angles are equal to each other, then the angle A = angle C = 55 degrees. We know that the sum of the degree measures of a parallelogram is 360 degrees. Therefore, we get:
angle B = angle E = (360 – (55 + 55)): 2;

angle B = angle E = (360 – 110): 2;

angle B = angle E = 240: 2;

angle B = angle E = 120.
Answer: 55 degrees; 120 degrees; 120 degrees.



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