Ez.3. The difference between the in...
Question
Fullscreen

Ez.3. The difference between the interior and exterior angles of a regular polygon is 60°. The number of sides of the polygon is : (1) 4 (2) 5 (3) 6 (4) 8

11th - 12th Class
Maths
Solution
166
Rating
4.0 (1 ratings)
Fullscreen
(3) Here interior angle - exterior angle ( =60^{circ} ) sol. ( frac{(n-2) times 180^{circ}}{n}-frac{360^{circ}}{n}=60^{circ} ) ( frac{1}{n}left[(n-2) times 180^{circ}-360^{circ}right]=60^{circ} ) ( frac{1}{n}left[180^{circ} n-360^{circ}-360^{circ}right]=60^{circ} ) ( frac{1}{n}left[180^{circ} n-720^{circ}right]=60^{circ} ) ( 180^{circ} n-720^{circ}=60^{circ} n ) ( 120^{circ} n=720^{circ} ) ( n=frac{720^{circ}}{120^{circ}}=6 )
Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free