Which is true?

(a) A triangle can have two right angles.

(b) A triangle can have two obtuse angles.

(c) A triangle can have two acute angles.

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

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Solution

ANSWER:
(c) A triangle can have two acute angles.
The sum of two acute angles is always less than $180^{\circ}$ , thus satisfying the angle sum property of a triangle.
Therefore, a triangle can have two acute angles.

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Similar questions

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.

Q. 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.

Q. Fill in the blanks to make the following statements true:

(i) Sum of the angles of a triangle is ....

(ii) An exterior angle of a triangle is equal to the two ....... opposite angles.

(iii) An exterior angle of a triangle is always ......... than either of the interior opposite angles.

(iv) A triangle cannot have more than ...... right angles.

(v) A triangles cannot have more than ......obtuse angles.

Q. State 'True' or 'False':
(i) A triangle can have two right angles.
(ii) A triangle cannot have two obtuse angles.
(iii) A triangle cannot have two acute angles.
(iv) A triangle can have each angle less than 60°.
(v) A triangle can have each angle equal to 60°.
(vi) There cannot be a triangle whose angles measure 10°, 80° and 100°.

Which of the following is true?
(i) A triangle can have two obtuse angles.
(ii) A triangle can have all angles equal to $60^{\circ}$ .
(iii) A triangle can have all angles more than $60^{\circ}$ .

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Which is true? (a) A triangle can have two right angles. (b) A triangle can have two obtuse angles. (c) A triangle can have two acute angles. (d) An exterior angle of a triangle is less than either of ther interior opposite angles.

ANSWER: (c) A triangle can have two acute angles. The sum of two acute angles is always less than 180∘, thus satisfying the angle sum property of a triangle. Therefore, a triangle can have two acute angles.

Which is true?

(a) A triangle can have two right angles.

(b) A triangle can have two obtuse angles.

(c) A triangle can have two acute angles.

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

ANSWER:
(c) A triangle can have two acute angles.
The sum of two acute angles is always less than $180^{\circ}$ , thus satisfying the angle sum property of a triangle.
Therefore, a triangle can have two acute angles.