The interior angles of regular polygon measure 150 the number of diagonal of the polygon
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Step-by-step explanation:
since the interior angle of a regular polygon is
150 measure of an exterior angle is 30
sum of all exterior angle is 360
therefore
number of a side = 360 / 3 = 12
a polygon which have the n side has n(n-3)÷2 diagonal
the number of a diagonal = 12×(12-3) /2
= 12 x 9/2=54.
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