how many sides has the polygon?
how many triangles are there in the polygon?
if the polygon is regular find the size of each of its exterior angles?
how many triangles are there in the polygon?
if the polygon is regular find the size of each of its exterior angles?
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The sum of the measures of the interior angles of a convex polygon with n sides is (n-2)180
now we just substitute
(n-2)180=2880
180n-360=2880
180n=3240
n=18
there are 18 sides
to know how many triangles you just subtract 2 from the number of sides ex 3 sides 1 triangle so there would be 16 triangles in this polygon
In regular polygons the exterior angles always add up to 360 degrees so we would just take 360 and divide by the number of sides (360/18) which would give you 20 degrees per side
now we just substitute
(n-2)180=2880
180n-360=2880
180n=3240
n=18
there are 18 sides
to know how many triangles you just subtract 2 from the number of sides ex 3 sides 1 triangle so there would be 16 triangles in this polygon
In regular polygons the exterior angles always add up to 360 degrees so we would just take 360 and divide by the number of sides (360/18) which would give you 20 degrees per side
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NOTE: Any polygon has internal angles = (n-2)180 where n is the number of sides.
how many sides has the polygon?
Total internal angles = 2880 = (n-2)180
n-2 = 2880/180 = 16
n = 16=2 = 18 sides <= ans1
Number of triangles is equal to the number of sides.
Number of triangles in that polygon = n = 18 <= ans2
External angles:
NOTE: External angle of a polygon is given by (n-2)180 / n. So,
(n-2)180 / n :the value of n calculated as 18
= (18-2)180 / 18 = 16*180/18 = 160 degrees <= ans3
how many sides has the polygon?
Total internal angles = 2880 = (n-2)180
n-2 = 2880/180 = 16
n = 16=2 = 18 sides <= ans1
Number of triangles is equal to the number of sides.
Number of triangles in that polygon = n = 18 <= ans2
External angles:
NOTE: External angle of a polygon is given by (n-2)180 / n. So,
(n-2)180 / n :the value of n calculated as 18
= (18-2)180 / 18 = 16*180/18 = 160 degrees <= ans3