Question

Please answer this.The question is in the picture ​

Answer 1

Answer:

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

So, if the polygon has n sides, then

Sum of all exterior angles + Sum of all interior angles = n × 180°

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

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

                                      = n × 180° - n × 180° + 2 × 180°

                                      = 180°n - 180°n + 360°

                                      = 360°

Therefore, we conclude that sum of angles 1,2,3,4,5 of the polygon having n sides = 360°