One of the angles of an isosceles trapezoid is 29 ° 36. Calculate the degree measures of the remaining

| June 15, 2021 | education

One of the angles of an isosceles trapezoid is 29 ° 36. Calculate the degree measures of the remaining angles of the trapezoid.

Given:
ABCE – isosceles trapezoid,
angle A = 29 degrees 36 minutes.
Find the degree measures of the angles of an isosceles trapezoid ABCE: angle B, angle C, angle E -?
Decision:
Consider an isosceles trapezoid ABCE. Its angles at the base are equal to each other, then angle A = angle C, angle B = angle E.
We know that the sum of the degree measures of a parallelogram is 360 degrees. Therefore, angle A = angle C = 29 degrees 36 minutes. Angle B = Angle E = 360 – (29 degrees 36 minutes + 29 degrees 36 minutes): 2 = (358 degrees 120 minutes – 58 degrees 72 minutes): 2 = 300 degrees 48 minutes: 2 = 150 degrees 24 minutes.
Answer: 29 degrees 36 minutes; 150 degrees 24 minutes; 150 degrees 24 minutes.



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