Q. 175.0( 4 Votes )

In figure, if <sp A. 60°

B. 50°

C. 70°

D. 80°

Answer :

Given ∠DAB = 60° and ∠ABD = 50°

We know that angles in the same segment of a circle are equal.

∴ ∠ADB = ∠ACB

In ΔABD,

By angle sum property,

⇒∠ABD + ∠ADB + ∠DAB = 180°

⇒ 50° + ∠ADB + 60° = 180°

⇒ 110° + ∠ADB = 180°

⇒∠ADB = 180° - 110°

∴ ∠ADB = 70° = ∠ACB

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In figure, if <sp A. 60°B. 50°C. 70°D. 80°