The sum of the two angles of an isosceles trapezoid is 38. Find the larger angle of the trapezoid.

1) What is the smaller angle of the isosceles trapezoid?

In an isosceles trapezoid, the angles at the bases are equal, therefore, to find a smaller angle, you need to divide the sum of the two angles of this trapezoid in half, that is, 38˚: 2 = 19˚.

2) What is the degree measure of the greater angle of an isosceles trapezoid?

180˚ – 19˚ = 161˚.

Answer: the greater angle of the isosceles trapezoid is 161˚.

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