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Find the maximum number of acute angles ...

Find the maximum number of acute angles that a convex quadrilateral, a pentagon and a hexagon can have. Observe the pattern and generalize the result for any polygon.

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NCERT EXEMPLAR-UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY-EXERCISE
  1. In parallelogram ABCD, the angle bisector of angleA bisects BC. Will a...

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  2. A regular pentagon ABCDE and a square ABFG are formed on opposite side...

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  3. Find the maximum number of acute angles that a convex quadrilateral, a...

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  4. In the following figure, FD||BC||AE and AC||ED. Find the value of x.

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  5. In the following figure, AB||DC and AD = BC. Find the value of x.

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  6. Construct a trapezium ABCD in which AB||DC, angleA = 105°, AD = 3 cm, ...

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  7. Construct a parallelogram ABCD in which AB = 4 cm, BC = 5 cm and angle...

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  8. Construct a rhombus whose side is 5 cm and one angle is of 60°.

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  9. Construct a rectangle whose one side is 3 cm and a diagonal equal to 5...

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  10. Construct a square of side 4 cm.

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  11. Construct a rhombus CLUE in which CL = 7.5 cm and LE = 6 cm.

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  12. Construct a quadrilateral BEAR in which BE = 6 cm, EA = 7 cm, RB = RE ...

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  13. Construct a parallelogram POUR in which, PO=5.5 cm, OU = 7.2 cm and an...

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  14. Draw a circle of radius 3 cm and draw its diameter and label it as AC...

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  15. Construct a parallelogram HOME with HO = 6 cm, HE = 4 cm and OE = 3 cm...

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  16. Is it possible to construct a quadrilateral ABCD in which AB = 3 cm, B...

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  17. Is it possible to construct a quadrilateral ROAM in which RO=4 cm, OA ...

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  18. Construct a square in which each diagonal is 5cm long.

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  19. Construct a quadrilateral NEWS in which NE = 7cm, EW = 6 cm, angleN = ...

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  20. Construct a parallelogram when one of its side is 4cm and its two diag...

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