Question

prove that opposite angles of cyclic quadrilateral is supplementary​

Answer 1

Answer:

∠ACB + ∠BAC + ∠ABC = 180° [Sum of the angles of a triangle] ∴ ∠ADC + ∠ABC = 180° ∴ ∠BAD + ∠BCD = 360° – (∠ADC + ∠ABC) = 180°. Hence proved. ... If a pair of opposite angles of a quadrilateral is supplementary, then the quadrilateral is cyclic.

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