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Acute Angled Triangle

State 'True' ...

Question

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°.

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Solution

(i) The given statement is false.

(ii) The given statement is true.

(iii) The given statement is false.

(iv) The given statement is false.

(v) The given statement is true.

(vi) The given statement is true.

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Similar questions

Q. Can a triangle have
(i) two right angles?
(ii) two obtuse angles?
(iii) two acute angles?
(iv) each angle more than 60°?
(v) each angle less than 60°?
(vi) each angle equal to 60°?

Q. Which of the following statements are true (T) and which are false (F):

(i) Sum of the three angles of a triangle is 180°.

(ii) A triangle can have two right angles.

(iii) All the angles of a triangle can be less than 60°

(iv) All the angles of a triangle can be greater than 60°.

(v) All the angles of a triangle can be equal to 60°.

(vi) A triangle can have two obtuse angles.

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

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

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

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

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

Q. 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}

.

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. 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 the interior opposite angles.

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