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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°”
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Solution
Let p: An angle is a right angle.
q: An angle is of measure 90°.
∴ The symbolic form of the above Statement is p ↔ q.
∼ (p ↔ q) ≅ (p ∧ ∼ q) ∨ (q ∧ ∼p).
∴ The negation of the given statement is ‘An angle is right angle and it is not of measure 90° or an angle is of measure 90° and it is not right angle.
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