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In the adjoining figure it is given that...

In the adjoining figure it is given that `AB||CD,angle BOC=108^(@)` and `angleOCA=120^(@)` Find `/_AOC`,

A

`/_AOC=140^(@)`

B

`/_AOC=135^(@)`

C

`/_AOC=130^(@)`

D

`/_AOC=132^(@)`

Text Solution

Verified by Experts

The correct Answer is:
`D`
Through `O` draw a line `EOF` parallel to `AB` now `EF` || `AB` and `CD`||`AB`
`:.` `AB` || `EF` and `AO` is a transversal we have `/_AOF+/_OAB = 180^@`
`/_AOF+108^@`
`= 180^@`
`/_AOF = 72^@`
`:. EF` || `CD` and `OC` is transversal so ...
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RS AGGARWAL-PROPERTIES OF PARALLEL LINE -EXERCISE 14
  1. In the adjoining figure it is given that AB||CD,angle BOC=108^(@) and ...

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  2. In the given figure l||m and T is a transversal if angle=70^(@) find t...

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  3. In the given figure l||M and transversal if angle1 andangle2 are in th...

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  4. Two parallel lines l and m are cut by a transversal t. If the interior...

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  5. In the given figure l "||" m and be transversals such that is not para...

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  6. In the given figure angleB=65^(@) and angleC=45^(@) in triangleABC an...

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  7. In the adjoining figure it is given that CE||BA,ANGLE=80^(@) and ANGLE...

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  8. in the adjoining figure it is being given that AO||CD,OB||CE and ANGLE...

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  9. In the adjoining figure it is given that AB||CD,∠ ABO=50^(@) and ∠ CO...

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  10. In the given figure AB||CD and a transversal EF cuts them at G and H r...

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  11. In the given figureAB||CD, angleABE=120^(@),angle ECD=100^(@) and angl...

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  12. In the given figure ABCD is, ABCD is a quadrilateral in which AB||DC a...

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  13. In the given figure L||M and P||Q find the measure of each of the angl...

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  14. In the given figuer AB||DC and AD||BC and AC is a diagonal if ANGLEBAC...

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  15. In the given figuerAB||CD and CA has been produced to E so that angle...

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  16. In each of the given figures two lines L and M are cut by a transversa...

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