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

Maharashtra BoardEnglish MediumSTD 9MathsCongruence of Triangles and Inequalities in a Triangle1 Mark
MCQ
Which is true?
  • A
    A triangle can have two right angles.
  • B
    A triangle can have two obtuse angles.
  • ✓
    A triangle can have two acute angles.
  • D
    An exterior angle of a triangle is less than either of the interior opposite angles.
✓

Answer

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

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