The measure of each interior angle of a regular polygon is 170. Find the number of sides in the polygon. PLEASE HELP!

Question

kagıtucak · Answer

inner angle is 170 then outer angle is 180-170=10
sum of the outer angle 360 so 360/n=10 n=36

anonymous · Answer

@kagıtucak what is the formula you used?

kagıtucak · Answer

i didnt use a formula just apply basic things

anonymous · Answer

becausei know (n-2) x 180 is for finding the sum of the interior angles of a polygon

kagıtucak · Answer

for exapmle think equilateral triangle its inner angle 60 so outer 120 360/n=120 n=3
and obviously triangle has 3 sides

anonymous · Answer

how did you know to do 360/10 is what im confused about

kagıtucak · Answer

sum of outer angle is always 360 for every close shape

anonymous · Answer

yeah i understand how you got the numbers but how did you know to divide?

kagıtucak · Answer

and our inner angles are equal for each side

anonymous · Answer

but why did you divide?

kagıtucak · Answer

we know one outer angle and all outer angles are equal and their sum is 360 
so how many outer(10) have to come together to make 360

anonymous · Answer

oh kk thanks!!!!