If ZABC = 69°, ZACB = 31°, find ZBDC.
69
x
310
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Answer:∠ABC = 69°, ∠ACB = 31° [Given]
In ΔABC
∠ABC + ∠ACB + ∠BAC = 180°
⇒ ∠BAC = 180° - ∠ABC - ∠ACB
⇒ ∠BAC = 180° - 69° - 31° = 80°
∠BDC = ∠BAC ( Angle drawn from same chord)
∴ ∠BDC = 80°
I hope it helps you ^_^
Step-by-step explanation:
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