225k views
12 votes
Pls help How many sides does this regular polygon have? ​

Pls help How many sides does this regular polygon have? ​-example-1
User Ansiart
by
8.5k points

1 Answer

12 votes

Answer:

9

Explanation:

interior angle + exterior angle = 180°, that is

7y + 2y = 180

9y = 180 ( divide both sides by 9 )

y = 20

Then

2y = 2 × 20 = 40°

The sum of the exterior angles of a polygon = 360°

Divide the sum by 40 for number of sides (n)

n =
(360)/(40) = 9

User Pmccallum
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories