one interior angle of a convex pentagon is 110 degree and the remaining angles is x.Find the value of x

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A pentagon is made up of 3 triangles and since the angles of each triangle add up to 180 degrees, the interior angles of the pentagon must add up to 3*180=540 degrees. Therefore 4x+110=540 and 4x=430, so x=430/4=107.5°.

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