rosedelva1723 rosedelva1723
  • 13-06-2017
  • Mathematics
contestada

a polygon has 9 sides.what is the measure of the each interior angle of polygon?
A.40
B.1260
C.144
D.140

Respuesta :

jimthompson5910 jimthompson5910
  • 13-06-2017
Let m = measure of each interior angle of a regular polygon

It turns out that
m = [180*(n-2)]/n
where n is the number of sides

We have n = 9 sides, so
m = [180*(n-2)]/n
m = [180*(9-2)]/9
m = [180*7]/9
m = 1260/9
m = 140

Each interior angle is 140 degrees

Answer: D) 140
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