. □ABCD is a parallelogram. If m∠C = 75⁰, then m∠B = ______
A) 76⁰ B) 60⁰ C) 95⁰ D
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Since the circum-centres of the △ABC and △ADC i.e.. Q and R are the points of concurrence of the perpendicular bisectors of their sides. If O is the mid-point of Diagonal AC, then
∴ Diagonals of quadrilateral AQCR bisect each other respectively at right-angle and MQ and NR are the perpendicular bisectors of BC and AD. Again, the circum-centre of a triangle is equidistant from its vertices.
∴AQ=CQ=BQ
and AR=CR=DR
Hence, the quadrilateral AQCR is always a rhombus.
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a 76 is a answer of this question
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