1.

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.

Answer» 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.


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