Question

Assertion :If in a cylic quadrilateral, one angle is ${40}^0$, then the opposite angle is ${140}^0$ Reason: Sum of opposite angles in a cyclic quadrilateral is equal to ${360}^0$

• 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. Assertion is incorrect but Reason is correct

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

Given, one angle ${40}^o$ and opposite angle ${140}^o$.

We know, Opposite angles in a cyclic quadrilateral are supplementary, i.e. they sum up to ${180}^0$.

Then, ${40}^o+{140}^o={180}^o$.

Therefore, the given assertion is correct but reason is incorrect.

Hence, option $C$ is correct.