4. In Fig. 12.38, ZABC 69°,ACB 31°, findZ BDC. – InterviewSolution

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4. In Fig. 12.38, ZABC 69°,ACB 31°, findZ BDC.

Answer»

∠ABC = 69°, ∠ACB = 31° [Given]

InΔABC∠ABC + ∠ACB+∠BAC = 180°⇒ ∠BAC = 180° - ∠ABC - ∠ACB⇒ ∠BAC = 180° -69° - 31° = 80°

∠BDC = ∠BAC ( Angle drawn from same chord)

∴ ∠BDC= 80°

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