Question

find the sum of exterior angles obtained on producing in order the sides of a polygon with:
(i)7 side (ii)10 side (iii)250 side​

Answer 1

Answer:

the awnser is 1) 7

Step-by-step explanation:

Sum of interior & exterior angles at one vertex = 180°

Sum of interior & exterior angles = 7 × 180°

= 1260°

Sum of interior angles = (n – 2) × 180°

= (7 – 2) × 180°

= 900°

Sum of exterior angles = 1260° – 900°

= 360°

(ii) No. of sides n = 10

Sum of interior and exterior angles = 10 × 180°

= 1800°

But sum of interior angles = (n – 2) × 180°

= (10 – 2) × 180°

= 1440°

Sum of exterior angles = 1800 – 1440

= 360°

(iii) No. of side n = 250

Sum of all interior and exterior angles = 250 × 180°

= 45000°

But sum of interior angles = (n – 2) × 180°

= (250 – 2) × 180°

= 248 × 180°

= 44640°

∴ Sum of exterior angles = 45000 – 44640

= 360°