Question

Work out the number of sides of a regular polygon, if the interior angle is 177

Answer 1

Answer:

1) Find the number of sides if the measure of an interior angle is 177o in a regular polygon. Remember that the sum of the angles is (n-2)*180. 2) Find the measure of each interior angle if a regular polygon has 15 sides. Remember that the sum of the angles is (n-2)*180.

Step-by-step explanation:

Answer 2

Answer:

Let the number of sides be x.

One interior angle is 177°

One exterior angle is 180-177   (linear pair)

                                   = 3°

Exterior angle × Number of sides = 360

3*x = 360

x = 360/3

x = 120

Therefore, the polygon has 120 sides.