The angles adjacent to one base of the trapezoid are 112 ° and 145 °. Calculate the angles of the trapezoid.

univerkov | April 30, 2021 | education

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

Then the sum of the angles (BAD + ABC) = 180.

Angle BAC = 180 – ABC = 180 – 112 = 68.

The sum of the angles (BCD + ADC) = 180.

Angle АDC = 180 – ВСD = 180 – 145 = 35.

Answer: The angles of the trapezoid are 68, 35.

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