In $△ A B C$ , if AC $>$ AB, then which of the following options is correct?

$∠ C$ $>$ $∠ B$

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$∠ C$ $<$ $∠ B$

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$∠ C$ = $∠ B$

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$∠ A$ $<$ $∠ B$

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Solution

The correct option is B
$∠ C$ $<$ $∠ B$

If two sides of a triangle are unequal, the angle opposite to the longer side is larger.
In $△ A B C$ , it is given that AC $>$ AB.
Angle opposite to AC is $∠ B$ and the angle opposite to AB is $∠ C$ .
Therefore, $∠ B$ must be greater than $∠ C$ .

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