Question

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

Answer 1

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

Answer 2

@kagıtucak what is the formula you used?

Answer 3

i didnt use a formula just apply basic things

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

sum of outer angle is always 360 for every close shape

Answer 8

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

Answer 9

and our inner angles are equal for each side

Answer 10

but why did you divide?

Answer 11

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

Answer 12

oh kk thanks!!!!