# Find the large angle of an isosceles trapezoid, one of the angles of which is 55.

August 22, 2021 | education

| From the condition it is known that we are given an isosceles trapezoid and one of the angles of which is 55 °.

In order to find a larger angle of an isosceles trapezoid, recall the properties of the angles of an isosceles trapezoid.

The angles at the base of an isosceles trapezoid are equal. So we have two equal angles at each base.

Let’s remember what the sum of the corners of the rectangle is equal to. It is 360 °.

Let’s find the larger angle of the isosceles trapezoid. Let’s use the variable x to denote a larger angle and solve the equation:

2x + 2 * 55 = 360;

2x = 360 – 110;

2x = 250;

x = 125 ° larger trapezoid angle.

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