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.

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Only (ii)

Only (i)

Only (iii)

All are true

answer is C.

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Detailed Solution

We have to find which of the given statements is true.
(i) If a triangle has two right angles, its total angles will exceed

180^{\circ}

. which cannot be true as by the angle sum property of a triangle, the sum of angles of a triangle is 180 degrees.
(ii) If a triangle has all angles that are less than

60^{\circ}

, its sum cannot be less than

180^{\circ}

as by the angle sum property of a triangle, the sum of triangles is 180 degrees.
(iii) A triangle can have two acute angles which is the only true possibility their sum can be equal to 180 degrees which by the angle sum property of a triangle, is the sum of angles of a triangle.
Thus from above we get that only the third statement is true.
Therefore, option 3 is the correct option.

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