In an isosceles trapezoid, the diagonal is perpendicular to its lateral side
| April 8, 2021 | education
In an isosceles trapezoid, the diagonal is perpendicular to its lateral side and forms an angle of 15 degrees with the base. Find the obtuse angle of the trapezoid.
In a right-angled triangle ACD, the angle ADC = 180 – 90 – 15 = 75.
The sum of the angles at the side of the trapezoid is 180, then the angle ВСD = 180 – 75 = 105.
Answer: The obtuse angle of the trapezoid is 105.
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