# Find the angles of an isosceles trapezoid if one of its angles is 30 degrees greater than the second.

January 13, 2021 | education

| Since, by condition, the trapezoid is isosceles, then its angles at the base are equal.

Angle ВAD = ADС, angle ABC = ВСD.

Let the ВAD angle be X degrees, then the ABC angle will be (X + 30).

In a trapezoid, the sum of the angles at the lateral sides is 1800, then AВD + ABC = X + X + 30 = 180.

2 * X = 180 – 30 = 150.

X = 150/2 = 75.

Angle ВAD = ADС = 75.

Angle ABC = ВСD = 75 + 30 = 105.

Answer: The angles of an isosceles trapezoid are 75 and 105.

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