Question

1. Find the number of sides of a regular polygon if
(a) each exterior angle of the polygon is 40°,

(b) each interior angle of the polygon is 178°.

2. By finding the size of each exterior angle of a regular decagon, find the size of each interior angle of the decagon.

3. Two of the exterior angles of an n-sided polygon are 25° and 26°, three of its interior angles are 161° each and the remaining interior angles are 159° each. Calculate the value of n.

please hlep me :(

and give answer step by step ​

Answer 1

Answer:

The exterior angles of any regular polygon must add up to 360o . Since the angle measure given iin the questions s 40o , take 360o40o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.