the sum of exterior angle of the regular polygon is 1260find the measure of each exterior angle of the polygon
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We know that, Sum of measures of all interior angles of polygons =(2n−4)×90
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Given, interior angle =1260
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1260=(2n−4)×90
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1260/90=2n−4
14=2n−4
By transposing we get,
2n=14+4
2n=18
n=18/2
n=9
Therefore, the number of sides in a polygon is 9 .
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