Question

If the ratio of exterior and interior angle of a regular polygon is 2:7, what is the number of sides of the polygon?​

Answer 1

Answer:

》Let the number of side of triangle be n

☆ The measure of each interior angle

= (n-2)×180/n

●Measure of each exterior angle=180-(n-2)×180/n

= 360/n

●According to question, ratio of exterior

angle to interior angle = 2:7

●so , solving we get n = 9 and each exterior angle

= 40 °

Step-by-step explanation:

♡~hope it helps you..@KY

Answer 2

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The number of sides of the regular polygon = 360/40 or 9 sides.