Question

All the angles of a 9sided polygon are equal. a). calculate one outer angle. b). calculate one inner angle. c). write the sum of all inner angles. ​

Answer 1

Answer:

a) 40°

b) 1260°

c) 140°

Step-by-step explanation:

a) sum of all interior angle = n-2×180/n

= 9-2×180/9

= 7×20

= 140°

b) Sum of exterior angle = 180-140 (linear pair)

= 40°

c) Sum of interior angle = n-2×180

= 9-2×180

= 7×180

= 1260°

Answer 2

Answer:

sum of exterior angles is 360 so one exterior angle equals to 360÷ 9 = 40 degree , one inner angle 180-40= 140 degree , sum of all inner angles equal to ( number of side -2) * 180

(9-2) 180

7*180

1260 degree