Question 46

If a regular polygon has each of its angles equalto $$\frac{3}{5}$$ times of two right angles, then the number of sides is

Solution

regular polygon has each of its angles equalto $$\frac{3}{5}$$ times of two right angles = $$ \frac{3}{5} \times 180 = 108^\circ $$

formula for finding number of sides, n = $$ x = \frac{(n - 2) \times 180}{n} $$

substituting,

$$ 108 = \frac{(n - 2) \times 180}{n} $$

solving

108n = 180n - 360

360 = 72n

n = 5

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