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In Figure, if l1||l2a n d\ l2||l4, what ...

In Figure, if `l_1||l_2a n d\ l_2||l_4,` what is `y` in terms of x? (a) `90+x` (b) `90+2x` `90-x/2` (d) `90-2x`

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Verified by Experts

Given that,
'l1 || l2' and 'l3 || l4'
Let,
'/_1 = x'
'/_2 = y'
'/_3 = y'
'/_1 =/_4 (Alternate angle)
'/_4=x'
'/_5 = /_2' (Vertically opposite angle)
'/_6 =/_3' (Vertically opposite angle)
'/_5=/_6=y'
Now,
'/_4+ /_5+ /_6 = 180@'(Consecutive interior angle)
'y = 90@ - 2/x'
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