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If the polygon shown below is a regular nonagon,what is the value of x

User Ed Hintz
by
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1 Answer

1 vote

Answer:


x=40^o

Explanation:

the picture of the question in the attached figure

step 1

Find the measure of the interior angle of a regular nonagon

The formula to calculate the measure of the interior angle in any polygon is given by


((n-2)180^o)/(n)

where

n is the number of sides

In this problem we have

n=9 sides

substitute


((9-2)180^o)/(9)=140^o

step 2

Find the value of x

Remember that

The sum of the interior angle and the exterior angle in any vertex of the polygon must be equal to 180 degrees

so


x+140^o=180^o

solve for x


x=180^o-140^o=40^o

If the polygon shown below is a regular nonagon,what is the value of x-example-1