Mathematics

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


ANSWER

$$285^0$$


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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