Mathematics

# In the given figure, if $l || m$, the value of x is

$285^0$

##### SOLUTION
$\theta 1+\theta 2=x$
$k||l||m$
$\implies\quad \theta 1+40={ 180 }^{ \circ }\quad (sum\quad of\quad co-interior\quad angles={ 180 }^{ \circ })$
$\implies\quad \theta 1={ 140 }^{ \circ }$
$Similarly,$
$\theta 2+{ 35 }^{ \circ }={ 180 }^{ \circ }$
$\implies\quad \theta 2={ 145 }^{ \circ }$
$\therefore x={ 140 }^{ \circ }+{ 145 }^{ \circ }={ 285 }^{ \circ }$

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Single Correct Medium Published on 09th 09, 2020
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