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In Figure, P Q||R S ,\ /A E F=95^0,\ /B ...

In Figure, `P Q||R S ,\ /_A E F=95^0,\ /_B H S=110^0\ a n d\ /_A B C=x^0dot` Then the value of `x` is (a)`15^0` (b) `25^0` (c) `70^0` (d) `35^0`

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Solution
'PQ || RS'
Also, '/_AEF' and '/_1' are the corresponding angles.If a transversal intersects two parallel lines, then each pair of corresponding angles are equal.Therefore,
'/_1 = /_AEF'
It is given that
'/_AEF = 95@'
Therefore,
'/_1 = 95@'
Clearly, '/_1' and '/_2' form a linear pair, therefore, their sum must be supplementary.
Therefore,
'/_1+/_2=180@'
On substituting '/_1 = 95@' in equation above, we get:
...
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RD SHARMA-LINES AND ANGLES -All Questions
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