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AveGali [126]
3 years ago
12

Find the measure of the indicated angle below

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

The measure of x is 70\°

Step-by-step explanation:

we know that

The formula to calculate the sum of the internal angles of a polygon is equal to

S=(n-2)*180\°

where

n is the number of sides

In this problem we have

n=9\ sides

substitute

S=(9-2)*180\°=1,260\°

Find the measure of each internal angle

Divide the sum of the internal angles by the number of sides

1,260\°/9=140\°

The value of x is half the measure of internal angle

so

x=140\°/2=70\°

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