Mathematics

In Fig., $AB \parallel CD$. Find the reflex $\angle EFG$.

SOLUTION
In given figure, $AB$ parallel to $l$ and $EF$ is a transversal.
$\therefore \angle 1 =34^o$  ... Alternate interior angles
Now, $CD$ parallel to $l$ and $FG$ is a transversal.
$\therefore \angle 2+135^o=180^o$  ...Co-interior angles
$\Rightarrow \angle 2 =180^o-135^o$
$\Rightarrow \angle 2 =45^o$
Also,
$\angle EFG = \angle 1 + \angle 2 =34^o+45^o$
$\Rightarrow \angle EFG=79^o$
The reflex of $\angle EFG$
$\Rightarrow \angle EFG=360^o-79^o$
$\Rightarrow \angle EFG=281^o$

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Subjective Medium Published on 09th 09, 2020
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