ABCD is a trapezoid. What are angles B and D if angle A = 44 and C = 158?

By the property of a trapezoid, the sum of its angles at the lateral sides is 180.

Angle BAD + ABC = 180.

Angle ADC + BCD = 180.

44 + ABC = 180.

ABC = 180 – 44 = 136.

ADC + 158 = 180.

ADC = 180 – 158 = 22.

Answer: 136 and 22.



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