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3 years ago

How many sides does a polygon have if the sum of the measures of the interior angles is 3960

Mathematics

1 answer:

anastassius [24]3 years ago

6 0

Answer: the polygon has 20 sides.

Step-by-step explanation:

The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.

if the sum of the measures of the interior angles is 3960

degrees. This means that

(n - 2) × 180 = 3960

Expanding the brackets by applying the distributive property, it becomes

180n - 360 = 3960

180n = 3960 - 360

180n = 3600

Dividing both sides by 180, it becomes

n = 3600/180

n = 20

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Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.

This question can be solved using two tricks which are shown below:-

Trick 1 :

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