In an isosceles trapezoid between the lateral side and the height drawn from the apex
| April 30, 2021 | education
In an isosceles trapezoid between the lateral side and the height drawn from the apex of the obtuse angle, it is 23 degrees. Find the corners of the trapezoid.
In a rectangular triangle ABН, we determine the value of the angle BAН.
Angle BAН = 180 – ABH – AHB = 180 – 23 – 90 = 67.
The sum of the angles at the side of the trapezoid is 180, then the angle ABC = 180 – BAН = 180 – 67 = 113.
In an isosceles trapezoid, the angles at the base are equal, then the angle CDA = BAD = 67, the angle BCD = ABC = 113.
Answer: The angles of the trapezoid are 67, 113, 113, 67.
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