Question

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.

Answer 1

HEY Yukta!!!!

Here is your answer :-

Formula for sum of interior angles :-

=> (n - 2)×180

here

» n = number of sides of the polygon.

-________________

Now 2nd part of your question :-

Formula of Each Exterior angles = 360/n

[1] For Octagon :-

=> n = 8

=> EACH EXTERIOR ANKLE = 360/8

= 45

___________

[2] For hexagon :-

=> n = 6

=> Sum of the exterior = 360/6

= 60

_____________

[3] For heptagon

=> n = 7

=> Sum of exterior = 360/7

= 51.41

Answer 2

Heya!
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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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