The quadrilateral ABCD is inscribed in a circle. It is known that the angle B is 33 degrees greater
| April 23, 2021 | education
The quadrilateral ABCD is inscribed in a circle. It is known that the angle B is 33 degrees greater than the angle D. Find the angle D.
Since the quadrilateral ABCD is inscribed in a circle, the sum of its opposite angles is 180.
Let the value of the angle ABC = X0, then, by condition, the value of the angle ADC = (X – 33).
X + (X – 33) = 180.
2 * X = 180 + 33 = 213.
X = 213/2 = 106.5.
Angle ABC = 106.5.
Angle ADC = 180 – 106.5 = 73.5.
Answer: The value of the ADC angle is 73.5.
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