In a quadrilateral ABCD, inscribed in a circle, angle ABD = 52, angle ADC = 84, find the angle B of the quadrilateral.
August 24, 2021 | education
| To solve the problem, consider the figure.
By the property of the angles of a quadrangle inscribed in a circle, in any quadrangle inscribed in a circle, the sum of opposite angles is 180.
Therefore, ∠ ABC + ∠ ADC = 180.
∠ ABC = 180 – 84 = 96.
Answer: The value of the angle ABC = 96.
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