1.

The measure of the Narayan law of a regular polygon is 135. How many side

Answer»

Formula for sum S of  n interior angles  of n sided polygon is

S = (n−2) × 180˚

Since polygon is regular all its interior angles is same, sum of them is 135 degree times n

So we have S = 135n˚

As per formula,

S = (n−2) × 180 = 135n˚

180(n−2) = 135n

180n − 360 = 135n

45n = 360

n = 360/45 = 8

Number of sides is 8.



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