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In a quadrilateral PQRS, angleP = 50°, a...

In a quadrilateral PQRS, `angle`P = 50°, `angle`Q = 50°, `angle`R = 60°. Find `angle`S. Is this quadrilateral convex or concave?

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NCERT EXEMPLAR-UNDERSTANDING QUADRILATERALS AND PRACTICAL GEOMETRY-EXERCISE
  1. Find the value of x in the trapezium ABCD given below.

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  2. Two angles of a quadrilateral are each of measure 75° and the other tw...

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  3. In a quadrilateral PQRS, angleP = 50°, angleQ = 50°, angleR = 60°. Fin...

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  4. Both the pairs of opposite angles of a quadrilateral are equal and sup...

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  5. Find the measure of each exterior angle of a regular octagon.

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  6. Find the measure of an are exterior angle of a regular pentagon and an...

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  7. In the figure, find the value of x.

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  8. Three angles of a quadrilateral are equal. Fourth angle is of measure ...

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  9. In a quadrilateral HOPE, PS and ES are bisectors of angleP and angleE ...

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  10. ABCD is a parallelogram. Find the value of x, y and z.

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  11. Diagonals of a quadrilateral are perpendicular to each other. Is such ...

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  12. ABCD is a trapezium such that AB||CD, angleA : angleD = 2 :1, angleB :...

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  13. A line l is parallel to line m and a transversal p interesects them at...

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  14. ABCD is a parallelogram. The bisector of angle A intersects CD at X an...

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  15. A diagonal of a parallelogram bisects an angle. Will it also bisect th...

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  16. The angle between the two altitudes of a parallelogram through the ver...

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  17. ABCD is a rhombus such that the perpendicular bisector of AB passes th...

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  18. ABCD is a parallelogram. Points P and Q are taken on the sides AB and ...

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  19. In parallelogram ABCD, the angle bisector of angleA bisects BC. Will a...

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

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