Question

(a)
Find the measure of each exterior angle of a regular polygon of
(i) 9 sides (ii) 15 sides
remular nolygon have if the measure of​

Answer 1

Answer:

(I) 320° (ii) 336°

Step-by-step explanation:

(I) let the measure of exterior angle be x

total mesure of interior and exterior angle =360°

no. of sides in the polygon is 9

so angle subtended by each side =360/9

=40°

now x=360-40

x=320°

(ii) let the measure of exterior angle be x

total mesure of interior and exterior angle =360°

no. of sides in the polygon is 15

so angle subtended by each side =360/15

=24°

now x=360-24

x=336

Answer 2

Answer:

(1) measure of each exterior angle of regular polygon=360/n=360°/9=40°

(2) measure of each exterior angle of regular polygon=360°/n=360°/15=24°

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