Five of the angles of a hexagon are $115 °$ each . The $6 t h$ angle is

$130 °$

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$145 °$

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$160 °$

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$125 °$

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Solution

The correct option is B
$145 °$

As we know Angles' sum
$= (n - 2) \times 180 ° = (6 - 2) \times 180 ° = 720 °$
Now sum of $5$ equal angles $= 115 ° + 115 ° + 115 ° + 115 ° + 115 ° = 575 °$
so $6 t h$ angle will be $= 720 ° - 575 = 145 °$
Hence, $6 t h$ angle will be $= 145 °$

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