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Question
Write the negation of the statement “An angle is a right angle if and only if it is of measure 90°”
Solution
Let p: An angle is a right angle.
q: An angle is of measure 90°
The given statement is p ↔ q
Its negation is ~(p ↔ q) ≡ (p ∧ ~q) ∨ (q ∧ ~p)
∴ The negation of given statement is ‘An angle is a right angle and it is not of measure 90° or an angle is of measure 90° and it is not a right angle.’
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