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Geometry ( WILL GIVE BRAINY)

1) the sun of the measures of the n interior angles of an n- gon is

2) the sum of the measures of the exterior angles of a 25 gon is

3) the sum of the measures of the interior angles of an octagon is

4) the sum of the interior angles of a regular polygon is 720 degrees. How many sides does the polygon have

Geometry WILL GIVE BRAINY 1 the sun of the measures of the n interior angles of an n gon is 2 the sum of the measures of the exterior angles of a 25 gon is 3 th class=

Respuesta :

Batanouny

Answer:

1:

we have a rule that is (n-2)×180

while n = number of sides

2:

exterior angle of a polygon = 360 ÷ number of sides

so 360÷25=14.4

3:

octagon is 8 side, so as we said: (8-2)×180 = 1080

4:

lets make an equation, we know that (n-2)×180 = the sum

so (x-2)×180=720

180x -360 = 720

180x = 1080

x=6

Answer:

(x-2)×180=720

180x -360 = 720

180x = 1080

x=6

Explanation:

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