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Q.

What is the sum of all the angles of a pentagon?


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a

180°  

b

360°  

c

540°  

d

720° 

answer is C.

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Detailed Solution

We have following formulas:
Sum of all interior angles can be calculated by n−2 × 180 °   . Where n is the number of sides.
Here n = 5.
Finding the sum of all interior angles:
= n−2 × 180 ° = 5−2 × 180 ° =3× 180 ° = 540 °   Therefore, the sum of the angles of a hexagon is 540 °  .
Hence option 3 is correct.
 
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