# The quadrilateral ABCD is inscribed in a circle. You know that angle B is 33 °

July 31, 2021 | education

| **The quadrilateral ABCD is inscribed in a circle. You know that angle B is 33 ° greater than angle D. Find angle D.**

If a quadrilateral is inscribed in a circle, then the sum of its opposite angles is 180.

Let the angle ADC = X0, then the angle ABC, by condition, will be equal to (X + 33).

180 = X + X + 33.

2 * X = 180 – 33.

2 * X = 147.

X = 147/2 = 73.50.

Angle ADC = 73.50.

Answer: The ADC angle is 73.50.

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