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

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

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To solve the problem, we need to find the measure of angle \( \angle ACD \) in the rhombus \( ABCD \) given that \( \angle ABC = 56^\circ \). ### Step-by-Step Solution: 1. **Understand the Properties of a Rhombus**: - In a rhombus, opposite angles are equal, and adjacent angles are supplementary (they add up to \( 180^\circ \)). - Thus, if \( \angle ABC = 56^\circ \), then \( \angle ADC = 56^\circ \) as well. ...
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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^@, 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^@, find the measure of /A C D

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  4. The perimeter of a parallelogram is 22cm. If the longer side measur...

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  5. If the angles of a quadrilateral are in the ratio 3:5:9:13, then find ...

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  6. If the bisectors of two adjacent angles A\ a n d\ B of a quadrilate...

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  7. In a parallelogram A B C D , if /A=(3x-20)^@, /B= (y+15)^@, /C=(x+40)^...

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  8. If measures opposite angles of a parallelogram are (60-x)^@ and (3x-...

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  9. In a parallelogram ABCD , the bisector of /A also bisects BC at X Fin...

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  10. In Figure, P Q R S is an isosceles trapezium. Find x and y

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  11. In Figure, A B C D is a trapezium. Find the value of x\ a n d\ y

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  12. In Figure, P Q R S is a rhombus in which the diagonal P R is produce...

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  13. In Figure, A B C D is a rectangle in which diagonal A C is produced ...

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  14. In Figure, A B C D\ a n d\ A E F G are two parallelograms. If /C=58^...

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  15. Complete each of the following statements by means of one of those ...

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  16. The opposite sides of a quadrilateral have (a)no common point      ...

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  17. The consecutive sides of a quadrilateral have (a) no common point  ...

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  18. P Q R S is a quadrilateral. P R\ a n d\ Q S intersect each other Odot ...

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  19. Which of the following quadrilateral is not a rhombus? (a) All four ...

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  20. Diagonals necessarily bisect opposite angles in a rectangle(b) para...

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