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3 years ago

A regular polygon has an exterior angle of 40

2 answers:

8 0

9
The exterior angles of any regular polygon must add up to 360. Since the angle measure given in the questions is 40, take 360/ 40= 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

Viefleur [7K]3 years ago

6 0

Answer:

9 sides

Step-by-step explanation:

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

To find the number of sides n divide the sum by 40°

n = 360° ÷ 40° = 9

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we know that

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see the attached figure with letters to better understand the problem

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Find the measure of the angle x

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$63\°+36\°+x\°=180\°$

solve for x

$99\°+x\°=180\°$

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the answer Part b) is

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Find the measure of the angle y

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