Question

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

Answer 1

Answer:

80°

Step-by-step explanation:

In cyclic quadrilateral ABCD

L DBC = 55°

L BAC = 45°

L BAC = L BDC = 45° (Angles in the same segment are equal)

In triangle BDC (By Angle Sum Property)

L BDC + L DBC + L BCD = 180°

45° + 55° + L BCD = 180°

100° + L BCD = 180°

L BCD = 180° - 100°

L BCD = 80°

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Answer 2

Answer:

L BCD = 80°

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