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Question

Write the following statement in five different ways, conveying the same meaning. p: If triangle is equiangular, then it is an obtuse angled triangle.

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Solution

The given statement is: p: “If triangle is equiangular, then it is an obtuse angled triangle.” The given statement can be written in following ways:

(i) For a triangle to be equiangular, it is important that the triangle is an obtuse-angled triangle.

(ii) A triangle is equiangular implies that it is an obtuse-angled triangle.

(iii) If a triangle is not an obtuse angled triangle, then the triangle is not equiangular.

(iv) A triangle is equiangular only if it is an obtuse angled triangle.

(v) For a triangle to be an obtuse angled triangle, it is important that the triangle is equiangular.


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