SOLUTION: If you have the needed math book can you please help me solve the problem given? I also wrote the problem itsself International Mathematics for the Middle Years 3 (PEARSON) p2

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Question 1117557: If you have the needed math book can you please help me solve the problem given? I also wrote the problem itsself
International Mathematics for the Middle Years 3 (PEARSON)
p274 Chapter 10 | Revision Assignment
N3. a) A regular polygon has an interior angle of 175 degrees. How many sides does it have? (Hint:Find the size of its exterior angles first)
Thank you in advance.''.
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
If the interior angle is of 175 degrees, then the exterior angle (which is supplement to the interior angle) is of 5 degrees.


The sum of all exterior angles of any (regular) polygon is 360 degrees,


so the number of vertices of the given polygon is  360%2F5 = 72,


and the number of sides is 72, too.

Answered and solved.