A quadrilateral ABCD is inscribed in a circle, angle A = 102, angle B = 47.
| April 29, 2021 | education
A quadrilateral ABCD is inscribed in a circle, angle A = 102, angle B = 47. Find the degree measure of the larger of the other two angles.
By the property of a quadrilateral inscribed in a circle, the sum of its opposite angles is 180.
Angle ABC + ADC = 180.
ADC = 180 – 47 = 133.
Angle BAD + BCD = 180.
ВСD = 180 – 102 = 78.
Answer: The larger angle is 133.
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