Question

b) 18
What is the sum of interior angles of a regular octagon?
Find the measure of each exterior angle of a regular polygon with a) 12 sides
sides
d) 15 sides
10 sides b) 20 sides​

Answer 1

Answer:

15 sides

Step-by-step explanation:

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Answer 2

The sum of interior angles of a polygon is given by the formula= (2n-4) ×90°

where n is the number of sides in the polygon

So sum of interior angles of polygon = (2×8-4) ×90°

=(16-4) ×90°

=12×90°

=1080°

Measure of exterior angles of a regular polygon is given by the formula 360°/n

where n is the number of sides of the polygon

(a) 12sides =360/12=30°

(b) 15 sides =360/15= 24°

(c) 10 sides =360/10=36°

(d) 20 sides=360/20=18°

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