Q. 94.1( 7 Votes )

# In the adjoining figure, is a cyclic quadrilateral in which and Find

Answer :

ABCD is a cyclic quadrilateral

∴ ∠BCD + ∠BAD = 180°[Opposite angle of a cyclic quadrilateral are supplementary]

⇒ 100° + ∠BAD = 180°

⇒ ∠BAD = 80°

In triangle ABD,

∠ADB + ∠ABD + ∠BAD = 180°[Sum of angles of triangle]

⇒ ∠ADB + 50° + 80° = 180°

⇒ ∠ADB + 130° = 180°

⇒ ∠ADB = 50°

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