how chameleons Change their colour according to the outside surface.biological justification.
Answers
Explanation:
let your exterior angle be 36. Now your interior angle and exterior angle with the line extended add to equal to 180 degrees since the line drawn is a straight line. Therefore, if one exterior angle of the regular polygon is 36, then the interior angle is 180−36=144
The angle sum of any polygon is given by 180(n−2) where n is the number of sides of the polygon
Therefore, the angle sum of the polygon is equal to the one interior angle multiplied by the number of angles there are. Now since the number of angles is equivalent to the number of sides, we can write it like this:
180(n−2)=144n
180n−360=144n
36n=360
n=10
Since the polygon has 10 sides, then it must be a decagon.
Now, putting n=10 back into the equation 180(n−2) gives:
180(10−2)=180×8=1440
Answer: