The obtuse angle of a rectangular trapezoid is 46 degrees greater than the acute angle. Find the corners of the trapezoid.
| August 10, 2021 | education
Since, by condition, the trapezoid is rectangular, its two corners are straight.
Let the acute angle ADC be equal to X0, then the obtuse angle BCD will be equal to (X + 46).
The sum of the angles of the trapezoid at the side is 180, then X + (X + 46) = 180.
2 * X = 180 – 46 = 134.
X = 134/2 = 67.
Angle ADC = 67.
Then the angle ВСD = 67 + 46 = 113.
Answer: The angles of the trapezoid are equal: 90, 90, 113, 67.
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