The number of diagonals in a decagon is(a) 30 (b) 35 (c) 45 (d) none of these
Question
The number of diagonals in a decagon is(a) 30 (b) 35 (c) 45 (d) none of these
Solution
To find the number of diagonals in a decagon, we can use the formula:
Number of diagonals = n(n-3)/2
where n is the number of sides of the polygon.
In this case, a decagon has 10 sides, so we can substitute n = 10 into the formula:
Number of diagonals = 10(10-3)/2 = 10(7)/2 = 70/2 = 35
Therefore, the correct answer is (b) 35.
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