Q92 of 93 Page 6

Which of the following statements are true (T) and which are false (F)? (i)An exterior angle of a triangle is less than either of its interior opposite angles. (ii) Sum of the three angles of triangle is 180° . (iii) Sum of the four angles of a quadrilateral is three right angles. (iv) A triangle can have to right angles. (v) A triangle can have two acute angles. (vi) A triangle can have two obtuse angles. (vii) An exterior angle of a triangle is equal to the sum of the two interior opposite angles.

(i) F(ii) T (iii) F (iv) F (v) T (vi) F (vii) T

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89 In a ΔABC, ∠ B = 45°, ∠C = 55° and bisector of ∠ A meets BC at a point D. Find ∠ ADB and ∠ ADC. 90 ABCDE is a regular pentagon and bisector of ∠ BAE meets CD at M. If bisector of ∠ BCD meets AM at P, find ∠ CPM. 91 In figure, bisectors of ∠ B and ∠ D of a quadrilateral ABCD meet CD and AB produced at P and Q respectively. Prove that ∠ P +∠ Q=(∠ ABC + ∠ ADC).
           93 Fill in the blanks to make the following statements true:          (i) Sum of the three 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 angles.         (iv) A triangle cannot have more than ………. right angles.        (v) A triangle cannot have more than ………… obtuse angles.        (vi) Sum of the angles of a quadrilateral is ……………