Answer to this Geometry question??

Question

If one of the interior angles of a polygon is 135 degrees. What is one of the angles at the center. Hence how many sides has the polygon?

Answer 1

I think you mutiple that number until its divisible by 360 and that is your answer

n-2=interior angles

i think not sure though

sorry if this doesnt help

Answer 2

ok I'm a little rusty (haven't done this in about 15 years) but to find the # of sides I'm pretty sure you use the equation:

    

x= 360/ 180-y         or... 'x' equals 360 over 180 minus 'y'

    

y would equal 135 so that give you an 8 sided polygon

Answer 3

the exterior angles of a polygon always add up to 360° and if the interior angle is 135° the exterior angle will be 45° (exterior angle is always what you need to get to 180° --> 180° - 135° = 45°)

So just divide 360° by 45° and you'll get the number of sides:

360/45 = 8 sides