Question

If a triangle is equiangular, then it is an obtuse angled triangle. Which of the following statements doesn't convey the same meaning as of this mentioned sentence.

• A. A triangle is equiangular only if it is an obtuse angled triangle
• B. If a triangle is not obtuse angled triangle then it is not an equiangular triangle.
• C. Equiangularity is a sufficient condition for triangle to be obtuse angled.
• D. A triangle is only obtuse is obtuse angled if it is equiangular

Answer 1

Answer: (C)

Equiangularity is a sufficient condition for triangle to be obtuse angled.

Consider the given statements to be in the form of $p\to q$

Options A, B and C represents $q\to p,\sim p\to \sim q$ and $\sim q\to \sim p$ respectively.

Hence, option C, which is in the form of $p\to q$ is the correct answer.