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If the exterior angle of a quadrilateral...

If the exterior angle of a quadrilateral formed by producing one of its sides is equal to the interior opposite angle, prove that the quadrilateral is cyclic.

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NAGEEN PRAKASHAN-CIRCLE -Exercise 10c
  1. In the adjoining figure, PS|\ |QR and angle Q=115^@, then find the va...

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  2. In the adjoining figure, ABCD is a cyclic quadrilateral and AB is the ...

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  3. In the adjoining figure, ABCD is a cyclic quadrilateral.If side BC is ...

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  4. In the adjoining figure, O is the centre of the circle.If angleBAC=40^...

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  5. ABCD is a cyclic trapezium in which, AD|\ |BC and angleB=70^@. Find it...

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  6. In the adjoining figure, angle ABC=95^@ and angle DAC=35^@, then find ...

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  7. (i) In the adjoining figure, find the value of angle CBE. (ii) In ...

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  8. In the adjoining figure, O is the centre of the circle. Find the value...

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  9. In the adjoining figure, AB is the diameter of the circle and two poin...

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  10. In the adjoining figure,AB is the diameter of the circle of centre O &...

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  11. In the adjoining figure, AD is the diameter of the circle and angleBCD...

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  12. In the adjoining figure,O is the centre of the circle. If angleABC=110...

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  13. In the adjoining figure, O is the centre of a circle in which AB and C...

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  14. In the adjoining figure, Delta ABC is an isosceles triangle. Find the ...

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  15. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

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  16. If the exterior angle of a quadrilateral formed by producing one of it...

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  17. An angle of a cyclic trapezium is twice the other angle. Find the valu...

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  18. If diagonals of a cyclic quadrilateral are diameters of the circle ...

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  19. A cyclic trapezium is isosceles and its diagonals are equal.

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  20. Prove that the bisectors of the angles formed by producing the opposit...

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