Which of the following cannot be the sum of the angle measures of a convex polygon:

1,530 degrees,
3,420 degrees,
6,480 degrees,
4,500 degrees,

Question

Which of the following cannot be the sum of the angle measures of a convex polygon: 

1,530 degrees,
3,420 degrees,
6,480 degrees,
4,500 degrees,

cwrw238 · Answer

sum of angles  = 180( n -2)

cwrw238 · Answer

n must be a whole number
so equate this formula  , in turn to the 4 numbers you have and calculate n.
if n is not a whole number then you have your answer

cwrw238 · Answer

e. g
3420
180(n - 2) = 3420
180n - 360 = 3420
180n = 3780
n = 3780 / 180 = 21

so 3420 can be the sum of a polygon

cwrw238 · Answer

ok?