AP ICET 2019 Shift 1 Paper

Question : 136 of 200

Marks: +1, -0

In the adjoining figure. ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If = 55° and ∠BAC = 45°. then ∠BCD =

Solution:

From the figure ∠ DBC = ∠DAC = 55°
(Angles in the same segment)

∴∠DAB=55°+45°=100°

ABCD is a cyclic quadrilateral
∴∠DAB + ∠DCB=180°
⇒∴ ∠DCB = 80°

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