A B and C D are two parallel lines. P...

`A B` and `C D` are two parallel lines. `P Q` cuts `A B\ a n d\ C D` at `E\ a n d\ F` respectively. `E L` is the bisector of `/_F E Bdot` If `/_L E B=35^0,` then `/_C F Q` will be `55^0` (b) `70^0` (c) `110^0` (d) `130^0`

Text Solution

Verified by Experts

"Given that,
'AB || CD' and 'PQ' cuts them
'EL' is bisector of '/_FEB'
'/_LEB= /_FEL= 35@'
'/_FEB = /_LEB + /_FEL'
= '35@ + 35@'
= '70@'
'/_FEB =/_EFC = = 70@'(Alternate angles)
'/_EFC + /_CFQ = 180@'(Linear pair)
'70@ + /_CFQ=180@'
'/_CFQ=110@'"

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