What is the measure of each angle of a regular pentagon? If necessary, round to the nearest tenth.

1 answer:

7 0

Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165

Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .

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Ordered pairs given are :-

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FACTS TO KNOW BEFORE SOLVING :-

While writing the co-ordinates of a point , its ordered pair is always in the form of ( x , y ) where x = x-coordinate of the point & y = y-coordinate of the point.

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In Quadrant 3 , the coordinates of a point is always = ( -x , -y ) because Quadrant 3 lies between the negative side of x-axis & negative side of y-axis.
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(4 , 3) is in Quadrant 1 because both its x-coordinates & y-coordinates are positive.
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