Question

2. Find the sum of interior angles of a polygon of given number of sides by using
formula (n - 2) × 180°.
() 12 sides
(ii) 9 sides
(iii) 22 sides​

Answer 1

Answer:

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Step-by-step explanation:

The sum of interior angles of a regular polygon is twice the sum of its exterior angles.

Sum of all interior angles of a regular polygon = 180

o

(n−2) where n= number of sides of polygon

Sum of all exterior angle of a regular polygon = 360

o

According to question,

180

o

(n−2)=2×360

o

=>(n−2)=4

=>n=6

Number of sides of the polygon =6