Question

find the sum of exteroir angle obtained on producing order the sides of polygon with 10sides

Answer 1

HERE IS YOURS SOLUTION;

◆ We know that, exterior angle + interior adjacent angle = 180°.

So, if the polygon has 10 sides, then

◆ Sum of all exterior angles + Sum of all interior angles = 10 × 180°

So, sum of all exterior angles = 10× 180° - Sum of all interior angles

◆ Sum of all exterior angles = 10 × 180° - (10 -2) × 180°

= 10 × 180° - 10 × 180° + 2 × 180°

= 360°

◆ Therefore, we conclude that sum of all exterior angles of the polygon having 10 sides = 360° ◆

HOPE IT HELPS