SOLUTION: In a regular polygon, each angle is n degree. The number of angles in such a polygon is
A)180/n+2
B)360/180-n
C) 90/n+2
D)360/180+n
E)180(n+2)/n
Question 1125556: In a regular polygon, each angle is n degree. The number of angles in such a polygon is
A)180/n+2
B)360/180-n
C) 90/n+2
D)360/180+n
E)180(n+2)/n Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website! The sum of the interior angles, in degrees, of a regular polygon is given by the formula , where is the number of sides.
Shape.........|the number of sides..........Sum of Interior Angles.....|Each Angle
Any Polygon| .............. ....... | ..................... ° |............. ....... ....... Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website! .
Let the number of angles be " m ". It is the same as the number of sides.
Then
m*n = 180*(m-2) degrees,
mn = 180m - 360
360 = 180m - mn
360 = m*(180-n)
m = .
Answer. Option B) of the list.