In the figure, find the value of x. - Vidyadip

Question

In the figure, find the value of $x$.

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Answer

The given figure is a pentagon.
Sum of all the exterior angles of a pentagon is $360^\circ $
$\therefore $ $92^\circ + 20^\circ + 85^\circ + x + 89^\circ = 360^\circ $
$\Rightarrow 286^\circ + x = 360^\circ $
$ \Rightarrow x = 360^\circ - 280^\circ $
$ \Rightarrow x = 74^\circ $

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