Find the angles A u C of the trapezoid ABCD with bases АD u BC, if В = 144 ° D = 63`.
| March 10, 2021 | education
The sum of two angles of a trapezoid adjacent to one side is 180 °. Angle A and angle B are adjacent to one side of AB.
Hence, angle B + angle A = 180 °, hence the angle A is 180 ° – angle B.
Angle A = 180 ° – 144 ° = 36 °.
Similarly, we find the value of the angle C:
angle C = 180 ° – angle D = 180 ° – 63 ° = 117 °.
Answer: angle A is 36 °, angle C is 117 °.
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