In trapezoid ABCD, angle A = 70, angle C = 30. Find the smallest of angles B and D.

In trapezoid ABCD, angle A = 70, angle C = 30. Find the smallest of angles B and D. In the answer, indicate its degree measure.

A trapezoid is a quadrilateral in which 2 sides are parallel to each other, while the other are not parallel.

AB parallel to DC. By the property of a trapezoid, adjacent angles add up to 180 °.

Angle A = 70 °, angle D = 180 – 70 = 110 (°).

Angle C = 30 °, angle B = 180 – 30 = 150 (°).

The smallest angle is the angle D = 110 °.



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