In the following figure, ∠ ABC = 69°,∠ ACB = 31°

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In the following figure, ∠ ABC = 69°,∠ ACB = 31° then∠ BDC = ?

1. 80°
2. 60°
3. 65°
4. 75°

Correct Option: A

On the basis of given figure in question ,

Given that , ∠ ABC = 69°,∠ ACB = 31°
In ∆ ABC,
As we know that ,
∠BAC + ∠ABC + ∠ACB = 180°
⇒ ∠BAC + 69° + 31° = 180°
⇒ ∠ BAC = 180° – 100° = 80°
Since angles in the same segment are equal.
∴ ∠BDC = 80°