Mathematics

In the given figure AB || CD || EF. the values of $(y+x): (y-x)$ is

$21: 5$

SOLUTION
$y+50={ 180 }^{ \circ }\quad (\because Sum\quad of\quad interior\quad angles={ 180 }^{ \circ })$

$\implies\quad y={ 130 }^{ \circ }$

$x+30={ 110 }^{ \circ }\quad (alternate\quad angles)$

$\implies\quad x={ 80 }^{ \circ }$

$\therefore \cfrac { y+x }{ y-x } =\cfrac { 130+80 }{ 130-80 } =\cfrac { 210 }{ 50 } =\cfrac { 21 }{ 5 }$

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Single Correct Medium Published on 09th 09, 2020
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