A store sells cake tins of different polygonal shapes. The figure below shows the base of a cake tin shaped as a regular heptagon.

Which of these shows the correct method of finding the value of x?

Question

A store sells cake tins of different polygonal shapes. The figure below shows the base of a cake tin shaped as a regular heptagon.
 


Which of these shows the correct method of finding the value of x?

anonymous · Answer

attachment

anonymous · Answer

what is the angle measure of each corner in a regular heptagon?

directrix · Answer

The sum of the exterior angles of a regular polygon is 360. 
A heptagon has 7 sides.

360/7 = 51 and 3/7 or 51.43 degrees for each of the exterior angles.--> Answer 

Because the heptagon is regular, interior angles are congruent and so are the adjacent exterior angles.

anonymous · Answer

and then you want to find the supplementary angle to that (180-interior angle)

anonymous · Answer

Well here are the actual answers


		360 ÷ 8
		360 ÷ 7
		360 ÷ 5
		180 ÷ 7

I got 180/7