Question

A regular hexagon and a regular octagon share a side, as shown in the image below. What is the measure of x, the angle between a side of the hexagon and a side of the octagon?

Answer 1

255
each angle in a hexagon is 60 degrees
each angle in an octagon is 45 degrees
1 octagon angle + 1 hexagon angle + unknown angle = 360 degrees

Answer 2

thanks, are you sure? :)

Answer 3

angle in hexagon = 120 degrees
.. .... octagon = 135 degrees

Answer 4

this is the sum of the exterior angles...

exterior angle of an octagon + exterior angle of a hexagon

Answer 5

so its 360/8 + 360/6 = x

Answer 6

105?

Answer 7

looks correct to me

Answer 8

yes

Answer 9

campbell's method is most direct way to answer this

Answer 10

he is correct, sorry, I was backwards