Question

5. Is it possible to have a regular polygon whose each exterior angle is: (i) 80 (ii) 40% of a right angle​

Answer 1

Answer:

hey mate here is your answer

(i) Let no. of sides = n each exterior angle = 80°

360°/n = 80°

n = 360°/80°

n = 9/2

Which is not a whole number.

Hence it is not possible to have a regular polygon whose each exterior angle is of 80°.

(ii) Let number of sides = n

Each exterior angle = 40% of a right angle

= (40/100) × 90

= 36°

n = 360°/36°

n = 10

Which is a whole number.

Hence it is possible to have a regular polygon whose each exterior angle is 40% of a right angle.

regards

brain ly  challenger