The magnitude of one of the angles of the parallelogram is 55 degrees. Find the values of the remaining
August 16, 2021 | education
| 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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