Find the larger angle of the isosceles trapezoid ABCD if the diagonal AC makes angles equal to 25
| August 17, 2021 | education
Find the larger angle of the isosceles trapezoid ABCD if the diagonal AC makes angles equal to 25 ° and 40 ° with the base AD and the side AB, respectively.
By condition, the angle CAD = 40, and the angle BAC = 250 then the angle BAD = BAC + CAD = 40 + 25 = 65.
In a trapezoid, the sum of the angles at the lateral surface is 180, then the angle ABC + BAD = 180.
Angle ABC = 180 – BAD = 180 – 65 = 115.
Answer: The larger angle of the trapezoid is 115.
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