Mathematics

Mark the correct alternative of the following.In figure, if AB, CD and EF are straight lines, then $x=?$

$20$

SOLUTION
Let the point of intersection of the lines AB, CD and EF  is O.
Then $\angle AOE=\angle BOF=3x^o$......(1) [ Opposite angles], $\angle COF=\angle EOD=4x^o$.....(2) and $\angle BOD=\angle AOC=2x^o$.....(3).
Then we've,
$2(2x^o)+2(4x^o)+2(3x^o)=360^o$ [ Since the sum of all the angles $=360^o$]
or, $18x^0=360^o$
or, $x=20$

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Single Correct Medium Published on 09th 09, 2020
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