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In a $$\triangle$$ABC, $$\angle$$ABC = 2$$\angle$$CAB, If the side BC is extended to D and $$\angle$$ACD = 126$$^\circ$$, then $$\angle$$CAB is:
Let $$\angle$$CAB = x
Given, $$\angle$$ABC = 2$$\angle$$CAB
$$=$$> $$\angle$$ABC = 2x
In $$\triangle$$ABC,
$$\angle$$ACD is the exterior angle at point C which is equal to the sum of the interior angles at points A and B
$$=$$> $$\angle$$ABC + $$\angle$$CAB = $$\angle$$ACD
$$=$$> 2x + x = 126$$^\circ$$
$$=$$> 3x = 126$$^\circ$$
$$=$$> x = 42$$^\circ$$
$$=$$> $$\angle$$CAB = 42$$^\circ$$
Hence, the correct answer is Option B
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