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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