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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

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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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