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MATHEMATICAL REASONING — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSMATHEMATICAL REASONING2 Marks
Question
Write the following statement in five different ways, conveying the same meaning. p: If a triangle is equiangular, then it is an obtuse angled triangle.
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Answer

The given statement can be written in five different ways as follows.
  1. A triangle is equiangular implies that it is an obtuse-angled triangle.
  2. A triangle is equiangular only if it is an obtuse-angled triangle.
  3. For a triangle to be equiangular, it is necessary that the triangle is an obtuse-angled triangle.
  4. For a triangle to be an obtuse-angled triangle, it is sufficient that the triangle is equiangular.
  5. If a triangle is not an obtuse-angled triangle, then the triangle is not equiangular.

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