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If the bisector of the angles A and B of a quadrilateral ABCD meet at `O`, then `angle AOB` is equal to:

A

`angle C + angle D`

B

`(1)/(2) (angle C + angle D)`

C

`(1)/(2) angle C + (1)/(3) angle D`

D

`(1)/(3) angle C + (1)/(2) angle D`

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The correct Answer is:
B
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S CHAND IIT JEE FOUNDATION-POLYGONS AND QUADRILATERALS -QUESTION BANK - 23
  1. If one side of a regular polygon with seven sides is produced, the ext...

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  2. How many sides does a regular polygon have, whose interior angle is ei...

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  3. Any cyclic parallelogram having unequal adjacent sides is necessarily ...

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  4. In the given figure, ABCD is a parallelogram. The quadrilateral PQRS i...

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  5. If angles A, B, C and D of the quadrilateral ABCD, taken in order are ...

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  6. The figure formed by joining the mid-points of adjacent sides of a rho...

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  7. ABCD is a rectangle. Find x.

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  8. PQRS is a parallelogram. Then y equals.

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  9. ABCD is a rhombus. angle DAB = 2x + 15^(@), angle DCB = 3x - 30^(@), a...

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  10. PQRS is a kite. angle P = 70^(@), angle S = 90.5^(@), angle R equals

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  11. If the bisector of the angles A and B of a quadrilateral ABCD meet at ...

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  12. ABCD is a rectangle with angle BAC = 48^(@). Then angle DBC equals

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  13. In a trapezium ABCD, AB||DC, AB = AD, angle ADC = 64^(@) and angle BCD...

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  14. ABCD is a square, BA = BQ, QRC and BPD are straight lines and angle PB...

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  15. In the diagram, ABD and BCD are isosceles triangles, where AB = BC = B...

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  16. In the diagram, CDP is a straight line, Delta AQD is equilateral angle...

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  17. In the given figure, PQRS is a parallelogram and angle SPQ = 60^(@). I...

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  18. In the given diagram, ABCD is a square and Delta BCT is an equilateral...

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  19. In the given figure, AD||BC, angle AFG = b and angle BCD = c. Express ...

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  20. If the angles of a triangle are in the ratio 4:7:7, then what type of ...

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