Quadrilateral ABCD is inscribed in a circle. m∠A is 64°, m∠B is (6x + 4)°, and m∠C is (9x − 1)°. What is m∠D? 64° 82° 90° 98° 116° NextReset
Question
Answer:
for an inscribed quadrilateral, the opposite angles are supplementary,m∠A+m∠C=180
64+(9x-1)=180
9x+63=180
9x=117
x=13
m∠B=6x+4=6*13+4=82
so m∠D=180-82=98
the answer is 98.
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