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Congruence of Triangles and Inequalities in a Triangle — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSCongruence of Triangles and Inequalities in a Triangle1 Mark
Question
Which is true?
  1. A triangle can have two right angles.
  2. A triangle can have two obtuse angles.
  3. A triangle can have two acute angles.
  4. An exterior angle of a triangle is less than either of the interior opposite angles.
✓

Answer

  1. A triangle can have two acute angles.
Solution:
We know that, by the angle sum property,
the sum of all the angles of a triangle is 180° ...(i)
So, if two angles are right angles, then their sum is 180°.
So, the measure of the third angle is zero, which is not possible.
Thus, (a) is not true.

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