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AB and CD are two parallel lines and a transversal 'l' intersects these lines at X and Y respectively Prove that the bisectors of interior angles from a parallelogram whose each angle is `90^(@).`

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Prove that the bisectors of opposite angles of a parallelogram are parallel.

A B ,C D are two parallel lines and a transversal l intersects A B at X and C D at Y Prove that the bisectors of the interior angles form a parallelogram, with all its angles right angles i.e., it is a rectangle.

A B ,C D are two parallel lines and a transversal l intersects A B at X and C D at Y Prove that the bisectors of the interior angles form a parallelogram, with all its angles right angles i.e., it is a rectangle.

A transversal intersects two parallel lines. Prove that the bisectors of any pair of corresponding angles so formed are parallel.

If two parallel lines are intersected by a transversal, prove that the bisectors of the interior angles on the same side of transversal intersect each other at right angles.

Two parallel lines l and m are intersected by a transversal p . Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

If two parallel lines intersected by a transversal; prove that the bisectors of the two pairs of interior angle encloses a rectangle.

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

Sum of co-interior angles between parallel lines is two right angles

In a parallelogram, prove that the bisectors of any two consecutive angles intersect at right angle.

NAGEEN PRAKASHAN ENGLISH-QUADRILATERALS-Exercise 8a
  1. In the given figure, ABCD is a rohombus with A=67^(@). If DEC is an eq...

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

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

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

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

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

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

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

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

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

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  11. In a parallelogram ABCD, the bisector of angleA bisects the line B at ...

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

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

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

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

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

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  17. AB and CD are two parallel lines and a transversal 'l' intersects thes...

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  18. In the adjoining figure squareABCD is a parallelogeam. Points X and Y ...

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  19. In the adjoining figure, ABCDEF is a regular hexagon. Prove that squar...

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  20. Two triangles DeltaABC and Delta DEF are given such that AB"||"DE,BC"|...

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