SOLUTION: determine the number of sides of a polygon whole exterior and interior angles are in ratio 1:5
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Question 936025: determine the number of sides of a polygon whole exterior and interior angles are in ratio 1:5
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The sum of angle and angle is since they form a linear pair.
Let the angle be .
angles are in ratio ; so, the angle is .
Now
...the exterior angle is equal to
The sum of the exterior angles of a regular polygon is
So,we multiply the angle by the number of the sides.
where is the no. of sides
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