Question

the ratio between an exterior angle and the Interior angle of a regular polygon is 1:5 find-
a. Measure of each exterior angle
b. Measure of each interior angle
c. The number of sides of the polygon ​

Answer 1

Answer:

a = 150°

b = 30°

c = 12 Sides

Step-by-step explanation:

let the ratio be 1x and 5x

therefore 1x+5x=180

6x=180

x=30

Interior Angle = 30

Exterior Angle = 150  

the formula to find no of sides of polygon is 360÷each exterior angle i.e

360÷30=12

the no of sides is 12 its a 12 sided polygon

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