Question

How many sides does a regular polygon have if it has: a an exterior angle of 5⁰ b an interior angle of 178°?
please answer ​

Answer 1

Ответ:

а) A polygon has 72 sides

b) A polygon has 180 sides

Объяснение:

а)

The sum of the exterior angles of any polygon is 360°

360°/5°=72

____________

b)

Formula:

180°(n-2)/n; где n- number of sides.

180°(n-2)/n=178

180(n-2)=178n

180n-360=178n

180n-178n=360

2n=360

n=360/2

n=180