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If A B C D is a rhombus with /A B C=56^0...

If `A B C D` is a rhombus with `/_A B C=56^0,` find the measure of `/_A C D`

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Consecutive angles of a rhombus are supplementary.
`/_BCD=180^0−/_ABC`
`=180^0−56^0=124^0`
`/_BCD=124^0`
Diagonals of a rhombus bisect the interior angles
`/_ACD=/_BCD/2=124^/2=62^0`
`/_ACD=62^0` .
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RD SHARMA-QUADRILATERALS-All Questions
  1. If P Q R S is a square, then write the measure of /S R P

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  2. If A B C D is a rectangle with /B A C=32^0, find the measure of /D B C

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  3. If A B C D is a rhombus with /A B C=56^0, find the measure of /A C D

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  4. ABCD is a rhombus. Show that diagonal AC bisects /Aas well as /Cand d...

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  5. ABCD is a rectangle in which diagonal AC bisects /Aas well as /C. Sho...

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  6. In Figure, A B C D is a trapezium in which A B C D and A D=B Cdot sho...

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  7. In Figure, A B C D is a trapezium in which A B C D and A D=B Cdot sho...

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  8. In a parallelogram A B C D , determine the sum of angles /C\ a n d\ ...

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  9. In a parallelogram A B C D , if /D=135^0, determine the measures of ...

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  10. A B C D is a square. A C\ a n d\ B D intersect at Odot State the measu...

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  11. A B C D is a rectangle with /A B D=40^0dot Determine /D B C

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  12. The sides A B\ a n d\ C D of a parallelogram A B C D are bisected at E...

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  13. P\ a n d\ Q are the points of trisection of the diagonal B D of a pa...

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  14. A B C D is a square E ,\ F ,\ G\ a n d\ H are points on A B ,\ B C ,\ ...

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  15. A B C D is a rhombus, E A B F is a straight line such that E A=A B=B F...

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  16. A B C D is a parallelogram. A D is a produced to E so that D E=D C and...

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  17. In Figure, D ,E and F are, respectively the mid-points of sides B C ,C...

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  18. Prove that the four triangles formed by joining in pairs, the mid-po...

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  19. l, m and n are three parallel lines intersected by transversals p an...

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  20. Let A B C be an isosceles triangle with A B=A C and let D ,\ E ,\ F ...

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