Question

in a regular polygon, the ratio of the measure of the exterior angle to the measure of its adjacent interior angle is 1 to 4. how many sides does the polygon have?

Answer 1

can u plz draw a picture

Answer 2

there is no picture thats what i have to do...

Answer 3

The sum of the interior angles in degrees of any polygon is given by:
180(n-2)

where n is the number of sides of the polygon.

The sum of the exterior angles of any polygon is 180 degrees.

So if you have a regular n-gon where one of the interior angles is 4 times larger than the adjacent exterior angle, then the sum of the interior angles must be 4 times the sum of the exterior angles, so:
180(n-2) = 4 (180)

Just solve for n

here is my source

http://www.algebra.com/algebra/homework/Polygons/Polygons.faq.question.196757.html

Answer 4

i thought the total sum of exterior angles is 360

Answer 5

so do u get it though

Answer 6

there are 6 sides in the polygon

Answer 7

kinda...ill put it together at one point

Answer 8

so do u need additional help

Answer 9

i swaer the totoal sum of exterior angle is always 360, only a triangles sum is 180

Answer 10

imagine that is is a hexagon


144 +36 = 180