Five the angles of a hexagon are each $115^{o}$ . Calculate the measure of the sixth angle.

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Solution

Five angle of hexagon is $115^{\circ}$ each sum of all angles of hexagon = 720
$∴$ let sixth angle of hexagon be $x$
$\begin{matrix} x + 115 + 115 + 115 + 115 + 115 = 720 x + 575 = 720 x = 720 - 575 x = 145^{\circ} \end{matrix}$

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