The size of an interior angle regular polygon is 3x while its exterior angle is (x+20°).Find the number of triangles that makes the polygon?

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Answer 1 · 2018-04-07T16:15:20

4

The interior and exterior angles total 180

#3x+(#x+#20)=180#

#4x+20=180#

#4x=160#

#x=40#

So the interior angle is 120 and the exterior is 60

360 divided by the exterior angle = number of sides

#(360)/(60)#=6

6 sides, #6xx120#=720 in total

#720/180#=4

4 triangles