Find the angles of the isosceles trapezoid ABCD if the angle A is 55 degrees.

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

Then the angle ABC = 180 – 55 = 125.

Since, by condition, the trapezoid is isosceles, then its angles at the bases are the same.

Angle ADC = BAD = 55.

Angle BCD = ABC = 125.

Answer: The angles of the isosceles trapezoid are 55 and 125.



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