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
Create a FREE account and get:
- Free SSC Study Material - 18000 Questions
- 230+ SSC previous papers with solutions PDF
- 100+ SSC Online Tests for Free
