Q.Write converse, inverse and contrapositive of the following conditional statement: If an angle is a right angle then its measure is $90^{\circ}$.

For $p\to q$: converse is $q\to p$, inverse is $\sim p\to\sim q$, contrapositive is $\sim q\to\sim p$.

Let $p$: "an angle is a right angle", and $q$: "its measure is $90^\circ$". The given statement is $p\to q$.

Converse ($q \to p$):

$\text{If the measure of an angle is } 90^\circ\text{, then it is a right angle.}$

Inverse ($\sim p \to \sim q$):

$\text{If an angle is not a right angle, then its measure is not } 90^\circ.$

Contrapositive ($\sim q \to \sim p$):

$\text{If the measure of an angle is not } 90^\circ\text{, then it is not a right angle.}$

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