Write the formula for the sum of interior angles of n-sided polygon. Write the formula. Using the formula write the sum of exterior angles of an octagon, hexagon and heptagon.
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Here is your answer :-
Formula for sum of interior angles :-
=> (n - 2)×180
here
» n = number of sides of the polygon.
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Now 2nd part of your question :-
Formula of Each Exterior angles = 360/n
[1] For Octagon :-
=> n = 8
=> EACH EXTERIOR ANKLE = 360/8
= 45
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[2] For hexagon :-
=> n = 6
=> Sum of the exterior = 360/6
= 60
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[3] For heptagon
=> n = 7
=> Sum of exterior = 360/7
= 51.41
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♦Formula for Sum of Interior Angles of N sided polygon , =>
( n - 2 ) × 180
➰Here n represents the Number of Sides .
♦Sum of Exterior Angels =>
✔Octagon
➰N = 8
➰Sum of Exterior Angles = 360/ 8
=> 45
✔Hexagon
➰N = 6
➰Sum of Exterior Angles=>
=> 360/6
=> 60
✔Heptagon
➰N = 7
➰Sum of Exterior Angles => 360/7
=> 51.42
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