Question

5. Find the number of sides of a regular polygon whose each exterior angle is of the following measure.
i. 72°
ii. 20°
iii. 36°
iv. 40°​

Answer 1

Answer:

i) 72 degrees

=360/72

=5 (Pentagon)

ii) 20 degrees

= 360/20

= 18 (Octakaidecagon)

iii) 36 degrees

= 360/36

= 10 (Decagon)

iv) 40 degrees

= 360/40

= 9 (Nonagon)

Step-by-step explanation:

To find the no.of sides using exterior angle:

360/Value of one of the exterior angle