Find the largest angle of a trapezoid if one of the angles is 60 degrees, and the opposite is 110 degrees.
March 15, 2021 | education
| A trapezoid is a quadrilateral in which one pair of opposite sides is parallel, and the sides are not equal to each other.
The sum of the inner angles of the trapezoid is 360 °, and those adjacent to the lateral side are 180 °:
∠А = 60º;
∠С = 110º;
∠А + ∠В = 180º;
∠С + ∠D = 180º;
∠В = 180º – ∠А;
∠В = 180º – 60º = 120º;
∠D = 180º – ∠С;
∠D = 180º – 110º = 70º.
Answer: the degree measure of the largest angle ∠В is equal to 120º.
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