In a rectangular trapezoid with bases BC and AD, angle D = 36 °. Find the sum of the angles at the base BC.

univerkov | July 3, 2021 | education

Since the sum of the angles at the side of the trapezoid is 180, the angle ВСD = 180 – АDC = 180 – 36 = 144.

Since the trapezoid ABCD is rectangular, the angle ABC = BAD = 90.

Then the sum of the angles (ABC + BCD) = 90 + 144 = 134.

Answer: The sum of the angles at the base of the BC is 134.

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