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Angle Subtended by an Arc at the Center

In the figure...

Question

In the figure, side $A C$ is extended to $D$ .
$∠ B C D =_______$

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Solution

Since, $∠ B C D$ is an exterior angle.
Hence, it will be equal to the sum of two interior opposite angles.
So, $∠ B C D = ∠ C A B + ∠ C B A$

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