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(i) A triangle cannot have more than one...

(i) A triangle cannot have more than one right angle.

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(ii) A triangle cannot have more than one obtuse angle i.e.if one angle of a triangle is obtuse then the other two are acute.

Fill in the blanks to make the following statements true: Sum of the angles of a triangle is ............ An exterior angle of a triangle is equal to the two ............ opposite angles. An exterior angle of a triangle is always ............ than either of the interior opposite angles. A triangle cannot have more than ............ right angles. A triangles cannot have more than ............ obtuse angles.

Knowledge Check

  • Which of the following is true? (A) A triangle can have utmost two right angles. (B) A triangle can have two obtuse angles. (C) A triangle can have three acute angles.

    A
    A, B and C
    B
    Only B and C
    C
    Only B
    D
    Only C
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    Which of the following statements are true (T) and which are false (F): Sum of the three angles of a triangle is 180^0 A triangle can have two right angles. All the angles of a triangle can be less than 60^0 All the angles of a triangle can be greater than 60^0 All the angles of a triangle can be equal to 60^0 A triangle can have two obtuse angles. A triangle can have at most one obtuse angles. In one angle of a triangle is obtuse, then it cannot be a right angled triangle. An exterior angle of a triangle is less than either of its interior opposite angles. An exterior angle of a triangle is equal to the sum of the two interior opposite angles. An exterior angle of a triangle is greater than the opposite interior angles

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