Q13 of 69 Page 9

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) An exterior angle of a triangle is led than either of its interior opposite angles.


(x) An exterior angle of a 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.

(i) True

(ii) False


(iii) False


(iv) False


(v) True


(vi) False


(vii) True


(viii) True


(ix) False


(x) True


(xi)True


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11

In Fig. 9.38, AE bisects ∠CAD and ∠B =∠C. Prove that AE||BC.

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In Fig. 9.39, AB||DE. Find ∠ACD.

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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.

 1

Define a triangle.