Question

Assertion :$a$ and $b$ are forming a linear pair. Reason: $a$ and $b$ are forming a pair of adjacent angles.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

As we see, $\angle AOC$ and $\angle BOC$ have a common vertex $O$. So, $a$ and $b$ are adjacent angles

And $OB$ and $OA$ are opposite rays.

So, $a$ and $b$ are linear pair that means their sum is ${180}^{\circ }$.

But, adjacent angles does not necessarily add up to give ${180}^{\circ }$, it can give any sum.

So, reason is not correct explanation.

Hence, option $B$ is correct.