Section A 1 Mark Each

1. The bisectors of acute angles B and C of a right ABC meet at P. Then BPC =

(A) 135 (B) 90 (C) 45 (D) 20

2. The angle which is 8 times its complement is

(A) 80 (B) 72 (C) 90 (D) 160

3. An exterior angle of a triangle is 100 and its two interior opposite angles are equal.

Each of these equal angles is

(A)

1

37

2

 (B)

1

52

2

 (C)

1

72

2

 (D) 75

4. If 3 sides of a triangle are produced in order then the sum of three exterior angles =

(A) 180 (B) 720 (C) 90 (D) 360

5. The sum of the acute angles of an obtuse triangle is 80 and their difference is10 .

The lsmallest angles is

(A) 35 (B) 45 (C) 50

(D) 25

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2

Section B 2 Marks Each

7. Find value of ‘a’ for which l ll m.

Section C 3 Marks Each

8. In the given figure, AB and BC are two plane mirrors

perpendicular to each other. Show that the incident ray

PQ is parallel to reflected ray RS.

9. In triangle ABC bisectors of exterior angles B and C

Intersect each other at O. Prove

A

BOC 90

2

 

  

10. Arms of one angle are respectively parallel to arms of

other angle . Prove angle are equal or supplementary.

Section D 4 Marks Each

11. Prove midpoint of hypotenuse of a right triangle is equidistant from the three

vertices.