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balu736 [363]
3 years ago
11

What is the name of the regular polygon that measures 140゚

Mathematics
1 answer:
andrezito [222]3 years ago
5 0

Answer:

The regular polygon is a nonagon

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the name of the regular polygon that each interior angle measures 140゚?

we know that

The formula to find the sum of the interior angles in a regular polygon is equal to

n(a)=(n-2)180\°

where

n is the number of sides of the regular polygon

a is the measure of each interior angle of the regular polygon

we have

a=140\°

substitute in the formula and solve for n

n(140\°)=(n-2)180\°

140n=180n-360

180n-140n=360

40n=360

n=9\ sides

so

The regular polygon has 9 sides

therefore

The regular polygon is a nonagon

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