In an isosceles trapezoid, the sum of the angles adjacent to the larger base is 98. Find the obtuse angle of the trapezoid.
| June 3, 2021 | education
In an isosceles trapezoid, the angles at the base are equal. Let’s find the degree measure of one such angle, if their sum is 98 degrees.
1) 98: 2 = 49 °
In a trapezoid, the bases are parallel, therefore, if we consider the two bases as parallel straight lines, and the side as a secant, then the angle at the bottom and the angle at the top base will be one-sided.
Their sum is equal to 180 degrees, the larger of them will be the obtuse angle of the trapezoid.
180 – 49 = 131 °
Answer: 131 °.
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