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Find the measure of one interior angle in each regular polygon. Round your answer to the nearest

tenth if necessary.
1.
Find the measure of one exterior
2. Regular 15-gon

please help me i suck at geo

Find the measure of one interior angle in each regular polygon. Round your answer-example-1
User Yohannes
by
7.7k points

1 Answer

3 votes

Answer:

1. 120 degrees

2. 156 degrees

Explanation:

We can use the formula
a=([(180(n-2)])/(n)

Where n is the number of sides so we just fill in the formula

1. For the first shape it has 6 sides so we can put 6 as n in the formula


(180(6-2))/(6)

Now simplify using pemdas


(180(4))/(6) \\(720)/(6) \\120

2. For the second one we do the same thing but put 15 as n since it has 15 sides


(180(15-2))/(15) \\(180(13))/(15) \\(2340)/(15) \\156

Hope this helps please let me know if you have questions

User Greg Nisbet
by
7.8k points

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