Mathematics

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


ANSWER

$$21: 5$$


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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