how many sides does a polygon have if there is 140 degrees

Answer 1

Nonagon, 9 sided polygon has nine 140 degree interior angles

triangles, 3 sided polygons have 180 degrees

rectangles, 4 sided polygons have 360 degrees

5 or more sided polygons have greater than 360 degrees

there are no polygons with just 140 degrees

You might say 2 coinciding lines are a degenerate polygon with 2 sides and 0 degrees

if there were a polygron with 140 degrees it would seem to be somewhere between 2 and 3 sided, maybe 2 7/9 sided, in some surreal imaginary geometry. a 2.777.... sided polygon. At one time they laughed at irrational numbers, negative numbers, imaginary numbers, and infinite numbers. why not an imaginary polygon? Not there yet though.

but you probably meant a regular polygon with all its interior angles = 140

square has four 90 degree angles

equilateral triangle has three 60 degree angles

5 sided regular polygon looks promising with five 140 degree interior angles? No, won't work. pentagons have 108 degree interior angles. 5 x 108 = 540 total.

so maybe 6 sided? 7 sided? hexagon, heptagon? octagon?

the pattern is 60,90,108, ... 128...140.... my guess is 8 sided? nope. that's just 135. 9 sided polygon?

the trick is to divide up the polygon into triangles. Each triangle sums to 180 degrees. Count the triangles, multiply by 180, divide by the sides of the polygon. Do that with a nonagon, and you get 140 degrees.

Answer 2

Do you mean an exterior angle is 140 degrees? Or an interior angle?

Also need to know, is this a regular polygon?