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In Figure, A B||C Ddot Find the value of...

In Figure, `A B||C Ddot` Find the value of `x`

A

`rArrx=57^(@)`

B

`rArrx=56^(@)`

C

`rArrx=59^(@)`

D

`rArrx=58^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
`angleCQP and angleAPL` are corresponding angles.
`:. angle CQP= angleAPL=104^(@) " "` (as AB||CD)
Now `angleCQM+angleCQP=180^(@)" "` (linear pair)
`rArr2x-40^(@)+104^(@)=180^(@)`
`rArr2x=180^(@)+40^(@)-104^(@)`
`rArr2x=116^(@)`
`rArrx=58^(@)`
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