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All the angles of a quadrilateral are eq...

All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?

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Let all the angles be `x^@`
`x + x + x + x = 360...........`(Angle sumproperty)
`4x = 360`
`x = 90^@`
Therefore, measure all the angles is `90`
It can be a square or rectangle, because rectangle and square has all its angles as` 90`.
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RD SHARMA-UNDERSTANDING PHASE-III (SPECIAL TYPES OF QUADRILATERALS)-All Questions
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  2. The sum of two opposite angles of a parallelogram is 130^@dot Find a...

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  3. All the angles of a quadrilateral are equal to each other. Find the ...

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  4. Two adjacent sides of a parallelogram is 150cm. One of its sides is gr...

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  5. The perimeter of a parallelogram is 150cm. One of its sides is grea...

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  6. The shorter side of a parallelogram is 4.8cm and the longer side is ...

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  7. Two adjacent angles of a parallelogram are (3x-4)^@a n d\ (3x+10)^@dot...

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  8. In a parallelogram A B C D , the diagonals bisect each other at Odot I...

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  9. Find the angles marked with a question mark shown in Figure:

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  10. The angle between the altitudes of a parallelogram, through the sam...

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  11. In Figure, A B C D\ a n d\ A E F G are parallelograms. If /C=55^0, wha...

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  12. In Figure, B D E F\ a n d\ D C E F are each a parallelogram. Is it tru...

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  13. In Figure, suppose it is known that D E=D Fdot Then, is A B C isoscel...

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  14. Diagonals of parallelogram A B C D intersect at O as shown in Figure. ...

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  15. In Figure, A B C D is a parallelogram, C E besects /C\ a n d\ A F bise...

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  16. Diagonals of a parallelogram A B C D intersect at OdotA L\ a n d\ C M ...

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  17. Point E\ a n d\ F lie on diagonals A C of a parallelogram A B C D such...

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  18. In a parallelogram A B C D ,\ A B=10 c m ,\ A D=6c mdot The bisector o...

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  19. In Figure, R I C E is parallelogram. Find x ,\ y ,\ zdot

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  20. In Figure, A B C D is a rhombus with /A B C=56^0dot Determine /A C Ddo...

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