Given an isosceles trapezoid, one of the angles is 30 ° larger. Find all corners.
March 2, 2021 | education
| 1. Suppose that one angle at the lower base of an isosceles trapezoid is x degrees, then the other will be equal to it.
2. The degree measure of the angle at the upper base is (x + 30) degrees and the same degree is another.
3. Let’s compose the equation.
x * 2 + (x + 30) * 2 = 360;
2x + 2x + 60 = 360;
4x = 360 – 60 = 300;
x = 300/4 = 75;
x = 75;
Answer: Angles with a larger base x = 75 °, with a smaller x + 30 = 75 + 30 = 105 °.
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