Question

Which of the following is true?
(i) A triangle can have two right angles.
(ii) A triangle can have all angles less than ${60}^o$.
(iii) A triangle can have two acute angles.

• A. Only (ii)
• B. Only (i)
• C. Only (iii)
• D. All are true

Answer 1

Answer: (C)

Only (iii)

(i) If the triangle has two right angles, the sum of angles of the triangle will be more than ${180}^{\circ }$, which is not possible.
(ii) If the triangle has all the angles less than ${60}^{\circ }$, the sum of the triangle will be less than ${180}^{\circ }$, which is not possible.
(iii) Thus, the only possibility is the triangle has two acute angles.