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Q.

If sum of all interior angles of a regular polygon is 18 right angles. Then, find the number of sides of the polygon.


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a

11

b

3

c

5

d

10 

answer is A.

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Detailed Solution

Given the sum of all interior angles of a regular polygon is 18 right angles.
Sum of all interior angles is,= 18 ✕ (right angles)
⇒Sum of all interior angles=18 ×  90 °    ⇒Sum of all interior angles= 1620 °  
Also, sum of interior angle is
1620 ° = 2n − 4 × 90 ° ⇒ 1620 ° 90 ° =2n−4 ⇒18=2n−4 ⇒2n=18+4 ⇒2n=22 ⇒n= 22 2 ⇒n=11  
Therefore, number of side is 11.
Hence, option 1 is correct.
 
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If sum of all interior angles of a regular polygon is 18 right angles. Then, find the number of sides of the polygon.