In Fig 9.20, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠ DBC = 55° and ∠ BAC = 45°, find ∠ BCD.

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TextCyclic Quadrilateral and Its DefinitionNCERT Textbook

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There was a circular park in Defence colony at Delhi. For fencing purpose poles A, B, C and D were installed at the circumference of the park. Ram tied wires from A to B, B to C and C to D, and he managed to measure the ∠A = 100° and ∠D = 80° Point O in the middle of the park is the center of the circle.

CASE_STUDIESCyclic Quadrilateral and Its DefinitionOpposite Angles of Cyclic Quadrilateral are Supplementary

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If ∠ DBC = 70°, ∠ BAC is 30°, find ∠ BCD. Further, if AB = BC, find ∠ ECD.

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