ABCD is a cyclic quadrilateral,if angle BAC=50°and angle DBC=60°, then find angle BCD
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Given :- angle BAC = 50° and angle DBC = 60°
To find :- angle BCD.
Solution :-
angle BAC = angle CDB [Angles on the same segment of a circle are equal]
angle CDB = 50°
In triangle BCD,
angle BCD + angle CDB + angle DBC = 180° [Angle sum property of a triangle]
angle BCD + 50° + 60° = 180°
angle BCD + 110° = 180°
angle BCD = 180° - 110°
angle BCD = 70° ANSWER
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HOPE IT HELPS YOU....
Given :- angle BAC = 50° and angle DBC = 60°
To find :- angle BCD.
Solution :-
angle BAC = angle CDB [Angles on the same segment of a circle are equal]
angle CDB = 50°
In triangle BCD,
angle BCD + angle CDB + angle DBC = 180° [Angle sum property of a triangle]
angle BCD + 50° + 60° = 180°
angle BCD + 110° = 180°
angle BCD = 180° - 110°
angle BCD = 70° ANSWER
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HOPE IT HELPS YOU....
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Answered by
1
Answer:
∠BCD = 70°.
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