GATE Electrical 2021 | GA Question: 3

Question

For a regular polygon having $10$ sides, the interior angle between the sides of the polygon, in degrees, is:

• A. $396$
• B. $324$
• C. $216$
• D. $144$

Answer 1

The interior angle between the sides of the polygon $ = \frac{(n-2) \times 180^{\circ}}{n},$ where $n = $ number of sides of the polygon.

Here, $n = 10,$  therefore the interior angle between the sides of the polygon $ = \frac{(10-2) \times 180^{\circ}}{10}$

$\qquad = 8 \times 18^{\circ} = 144^{\circ}.$

So, the correct answer is $(D).$

Answer 2

answer 144

solution- (n-2)*180=(10-2)*180=1440

where n=10 which are side decagon.

so interior angle

1440/10=144