In a rectangular trapezoid, the sum of two angles is 215 degrees. find the smallest angle of this trapezoid.

univerkov | December 30, 2020 | education

Since the sum of the two angles of the trapezoid is greater than 180, this is the sum of the right angle and the obtuse angle of the trapezoid.
Angle (ABC + ВСD) = 215.
90 + ВСD = 215.
ВСD angle = 215 – 90 = 125.
Since the sum of the angles at the side of the trapezoid is 180, then the angle ADС = 180 – ВСD = 180 – 125 = 55.
Answer: The smallest trapezoid angle is 55.

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