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Two angles of an eight sided polygon are and . If the remaining angles are equal to each other; find the magnitude of each of the angles.

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answer is B.

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Detailed Solution

We know the formula that the sum of all angles of a polygon is given by

where n is the number of sides of the polygon.
Here n=8, hence by applying the formula, the sum of all interior angles of the eight sided polygon is given

Given that the two angles are

. Let the remaining six angles are each of magnitude

Then the

Hence we got that the remaining angles are each of magnitude

(option2)
So, option 2 is correct.

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