in a figure ABCD is a cyclic quadrilateral and O is the centre of the circle if angle b o d is equal to 160
degree then find the measure of angle bpd
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Measure of angle BPD is 100 ( by theorems in circle g
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m(DAB)=1/2m(BOD) [angles subtended by an arc at the centre is twice the angle subtended at the circumference)
m(DAB) = 1/2×160
=80°
80 + m(BPD) = 180° [opp angles of cyclic quadrilateral are supplementary]
so, m(BPD)= 100°
m(DAB) = 1/2×160
=80°
80 + m(BPD) = 180° [opp angles of cyclic quadrilateral are supplementary]
so, m(BPD)= 100°
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