Question

3. What is the sum of all interior angles of a polygon with the following number of sides?
(I) 3
(ii)5
(iii) n
(iv) 9
(v)12​

Answer 1

Answer:

Sum of interior angles of any polygon is = (n - 2) X 180

I) ( n - 2) x 180

when n = 3

( 3 - 2) x 180

= 1 X 180

= 180.

ii) ( n - 2) x 180

when n = 5

( 5 - 2) x 180

= 3 X 180

= 540.

iv) ( n - 2) x 180

where n = 9

( 9 - 2) X 180

= 7 x 180

= 1260.

v) ( n - 2) x 180

where n = 12

( 12 - 2) x 180

= 10 x 180

= 1800.

Step-by-step explanation:

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