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Q.

Which of the following is the number of diagonals in a pentagon?


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a

5

b

7

c

6

d

10 

answer is A.

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Detailed Solution

Given,
To find the number of diagonal in a pentagon.
We know that,
Number of diagonals of a n-sided polygon = n(n−3) 2  , where, n is the number of sides of a given polygon.
The number of sides of pentagon, n = 5.
Substituting the number of sides,
= n(n−3) 2   = 5(5−3) 2   = 5×2 2 = 10 2 =5   Hence, the number of diagonals in a pentagon is 5.
Therefore, option 1 is correct.
 
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