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a) 24 b) 80 c) 38 d) 32...

a) 24 b) 80 c) 38 d) 32

A

`24^(@)`

B

`86^(@)`

C

`38^(@)`

D

`32^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `angleAOB=70^(@) and angleDAC=32^(@)`

`angleACB=32^(@)" "[AD||BC and AC` is transversal]
Now, `" "angleAOB+angleBOC=180^(@)" "`[linear pair axiom]
`rArr" "angleBOC+angleBCO+angleOBC=180^(@)` [by angle sum property of a triangle]
`rArr" "110^(@)+32^(@)+angleOBC=180^(@)" "[becauseangleBCO=angleACB=32^(@)]`
`rArr" "angleOBC= 180^(@)-(110^(@)+32^(@))=38^(@)`
`therefore" "angleDBC=angleOBC=38^(@)`
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NCERT EXEMPLAR ENGLISH-QUADRILATERALS -LONG ANSWER TYPE QUESTIONS
  1. a) 24 b) 80 c) 38 d) 32

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  4. P, Q , R and S are respectively the mid-points of the sides AB, BC, C...

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  5. ABCD is a rhombus and P, Q, R and S are wthe mid-points of the side...

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  6. P, Q, R and S are respectively the mid-points of sides AB, BC, CD and ...

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  7. If diagonal of a parallelogram bisects one of the angles of the para...

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  8. ABCD is a parallelogram in which P and Q are mid-points of opposite ...

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  9. ABCD is a quadrilateral in which AB||DC and AD = BC. Prove that angleA...

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  10. In figure, AB||DE, AB=DE, AC||DF and AC=DF. Prove that BC||EF and BC=E...

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  11. In A B C ,A D is the median through A and E is the mid-point of A D ....

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  12. Show that the quadrilateral, formed by joining the mid-points of the ...

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  13. In Figure, A B C D isa trapezium in which side A B is a parallel to si...

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  14. Prove that the quadrilateral formed by the bisectors of the angles of ...

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  15. P and Q are points on opposite sides AD and BC of a parallelogram ABCD...

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  16. ABCD is a rectangle in which diagonal BD bisects angle B. Show that AB...

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

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  18. Prove that the line segment joining the mid-points of the diagonals of...

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  19. P is the mid-point of the side CD of a parallelogram ABCD. A line thro...

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