Five of the angles of a hexagon are each $115 °$ . Calculate the measure of the sixth angle .

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Solution

Five angle of hexagon is $115 °$
The sum of all angles of hexagon $= (6 - 2) \times 180 ° = 720 °$
Let sixth angle of hexagon be $x$
$x + 115 + 115 + 115 + 115 + 115 = 720 x + 575 = 720 x = 720 - 575 x = 145 \circ $
Hence, the measure of the sixth angle $= 145 °$

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