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19/07/2021 12:43 pm
We know that angles in the segment of the circle are equal so,
∠BAC = ∠BDC
Now in the in ΔABC, the sum of all the interior angles will be 180°
∠ABC + ∠BAC + ∠ACB = 180°
Now, by putting the values,
∠BAC = 180°-69°-31°
∠BAC = 80°
∴ ∠BDC = 80°