Angle Relations in Parallelogram

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1.

can not be determined

obtuse angle

right angle

acute angle

Question 1 of 20

2. The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32°, ∠AOB = 70°, then ∠DBC is equal to:

32°

88°

24°

38°

Question 2 of 20

3. The opposite angles of a parallelogram are (3x - 2)° and (50 - x)° the measure of these angles is ______.

140°, 140°

20°, 160°

37°, 143°

37°, 37°

Question 3 of 20

4. In parallelogram ABCD, if ∠A = 2x + 15°, ∠B = 3x - 25°, then value of x is:

91°

89°

38°

34°

Question 4 of 20

5. In the given figure, ABCD is a parallelogram, then ∠CDB is:

80°

100°

60°

40°

Question 5 of 20

6. In a parallelogram the sum of two consecutive angles is

360°

100°

180°

90°

Question 6 of 20

7. Bisectors of angles of a parallelogram form a

Rhombus

Rectangle

Trapezium

Square

Question 7 of 20

8. ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°, the measure of ∠CDB and ∠ADB is

∠CDB = 30°, ∠ADB = 60°

∠CDB = 45°, ∠ADB = 60°

∠CDB = 75°, ∠ADB = 30°

∠CDB = 40°, ∠ADB = 70°

Question 8 of 20

9. In a parallelogram, if diagonal PR bisects the ∠P, then it also bisects _____.

∠S

∠Q

∠R

PR

Question 9 of 20

10. ABCD is a parallelogram in which the bisectors of angles ∠A and ∠B intersect at point P then ∠APB is

45°

90°

60°

80°

Question 10 of 20

11. One angle of a parallelogram is 30° less than twice the smallest angle then the measure of each angle of the parallelogram is

100°, 80°, 100°, 80°

70°, 110°, 70°, 110°

40°, 140°, 40°, 140°

120°, 60°, 120°, 60°

Question 11 of 20

12. Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be

45cm

65 cm

25cm

30cm.

Question 12 of 20

13. If PQRS is a parallelogram, then ∠Q - ∠S is equal to:

120°

180°

90°

0°

Question 13 of 20

14. In the adjoining figure, WXYZ is a parallelogram. The values of a and b is:

a = 9 and b = 9

a = 16 and b = 10

a = 15 and b = 4

a = 12 and b = 8

Question 14 of 20

15. The diagonals of a rectangle PQRS intersects at O. If ∠QOR = 44°, ∠OPS =?

82

52°

68°

75°

Question 15 of 20

16. In the given figure, PQRS is a parallelogram and ∠R is 100° then ∠Q is

100°

70°

90°

80°

Question 16 of 20

17.

Kite

Parallelogram

Trapezium

Rhombus

Question 17 of 20

18. In a parallelogram ABCD, if ∠A = 75°, then ∠B =?

95°

80°

105°

15°

Question 18 of 20

19. AN and CP are perpendiculars to the diagonal BD of a parallelogram ABCD. Choose the correct option

AN ≠ CP

AN > CP

AN < CP

AN = CP

Question 19 of 20

20.

29°,73°

23°, 78°

29°, 78°

23°, 23°

Question 20 of 20

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