3.How maiy sides does areguiar poyavei uionareHow many sides does a re

1.	3.How maiy sides does areguiar poyavei uionareHow many sides does a regular poiygon have if each of its interior angleis 165°?
Answer» 1) The interior and the exterior angles make a linear pair:add up to make 180°. 180° - 165° = 15° measure of one ext. angle 2) the sum of the exterior angles of any convex polygon is 360° 360°÷ 15° = 24 exterior angles 3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon 4) Therefor there are 24 sides in this regular polygon

3.How maiy sides does areguiar poyavei uionareHow many sides does a regular poiygon have if each of its interior angleis 165°?

Answer»

1) The interior and the exterior angles

make a linear pair:add up to make 180°.

180° - 165° = 15° measure of one ext. angle

2) the sum of the exterior angles of any convex polygon is 360°

360°÷ 15° = 24 exterior angles

3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon

4) Therefor there are 24 sides in this regular polygon