Q. 45.0( 1 Vote )

*ABCD* is a cyclic quadrilateral such that ∠*ADB* =30° and ∠*DCA* =80°, then ∠*DAB* =

A. 70°

B. 100°

C. 125°

D. 150°

Answer :

ABCD is a cyclic quadrilateral

∠ADB = 30°

∠DCA = 80°

∠ADB = ∠ACB = 30° (Angle on the same segment)

Now,

∠BCD = ∠ACB + ∠DCA

= 30° + 80°

= 110°

∠OAB + ∠BCD = 180°

∠OAB + 110° = 180°

∠OAB = 70°

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