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In a square ABCD, diagonals meet at O. P...

In a square ABCD, diagonals meet at O. P is point on BC such that OB = BP.Show that (i) `anglePOC=(22(1)/(2))^(@)`
(ii) `angleBDC=2anglePOC`
(iii) `angleBOP=3angleCOP`

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NAGEEN PRAKASHAN-QUADRILATERALS-Exercise 8a
  1. In the given figure, find (i) angleXOD(ii) angleXOC

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  2. In the given figure, ABCD is a square and anglePQR=90^(@).If PB=QC=DR,...

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  3. In a square ABCD, diagonals meet at O. P is point on BC such that OB =...

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  4. The give figure shows a square ABCD and an equilayeral teiangle APB. C...

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  5. In the given figure, ABCD is a rohombus with A=67^(@). If DEC is an eq...

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  6. If the adjacent angles of a parallelogram are in the ratio 1/3:1/2. Fi...

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  7. Prove that the sum of two consecutive angles of a parallelogram is 180...

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  8. One angle of a parallelogram is 60^(@). Find its remaining angles.

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  9. One diagonal of a parallelogram biscets its one of the angles. Show th...

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  10. The opposite angles of a parallelogram are (3x-2)^(@)and(150-x)^(@). F...

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  11. In the adjoining figure, ABCD is a parallelogram. If angleABC=125^(@),...

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  12. In a parallelogram, one angleis twice of its consecutiv angle. Find al...

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  13. In a parallelogram ABCD, AX and CY are the bisectors of angleAandangle...

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  14. In a parallelogram PQRS, PX and QY are the perpendiculars drawn from P...

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  15. In a parallelogram ABCD, the bisector of angleA bisects the line Bcat ...

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  16. In a parallelogram ABCD, angleBCD=60^(@) If the bisectors AP and BP of...

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  17. In the adjoining figure, DeltaPQR is formed by the sides PQ, QR and RP...

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  18. X and Y are the mid-points of the opposite sides AB and DC of a parall...

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  19. Two points X and Y lie on the diagonal BD of a parallelogram ABCD such...

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  20. In the adjoining figure, DeltaABC is an isosceles triangle in which AB...

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