# Find the angles of an isosceles trapezoid if the acute angle is 2/3 of the obtuse angle

October 14, 2021 | education

| In an isosceles (isosceles) trapezium, the sides are equal. The left corners are respectively equal to the right corners. The sum of the acute and obtuse angles is 180 °. Let’s solve the problem using the equation, where:

2x ° – acute angle of the trapezoid;

3x ° – obtuse angle of the trapezoid;

Then the sum of the angles:

2x + 3x = 180 °;

5x = 180;

x = 180/5;

x = 36;

2x = 2 * 36 = 72 ° – acute angle of the trapezoid;

3x = 3 * 36 = 108 ° – obtuse angle of the trapezoid.

Answer: 72 °, 72 °, 108 °, 108 °

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