A triangle can have all the three angles greater than $60^{\circ}$ .

True

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False

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Solution

The correct option is B
False

If all the angles are greater than $60^{\circ}$ then their sum would get greater than $180^{\circ}$ which is not possible as from angle sum property, the sum of the angles of a triangle is $180^{\circ}$ . Thus, the given statement is False.

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Similar questions

State whether the statement is true or false.
A triangle can have all the three angles greater than $60^{\circ}$ .

I) can a triangle have all angles less than 60 degree explain.

II) can a triangle have all angles equal to 60 degree explain.

60^{\circ}

60^{\circ}

Which of the following statements are true (T) and which are fales (F):

(i) Sum of the three angles of a triangle is $180^{\circ}$ .

(ii) A triangle can have two right angles .

(iii) All the angles of a triangle can be less than $60^{\circ}$ .

(iv) All the angles of a triangle can be greater than $60^{\circ}$ .

(v) All the angles of a triangle can be equal to $60^{\circ}$ .

(vi) A triangle can have two obtuse angles .

(vii) A triangle can have at most one obtuse angle.

(viii) If one angle of a triangle is obtuse, then it cannot be a right angled triangle.

(ix) An exterior angle of a triangle is less than either of its interior opposite angles.

(x) An exerior angle of triangle is equal to the sum of the two interior opposite angles.

(xi) An exterior angle of a triangle is greater than the opposite interior angles.

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