WILL MEDAL IF ANSWERED
The sum of the measures of the interior angles of a convex polygon is 3060 Degrees. How many sides does the polygon have?
A.
15
B.
17
C.
18
D.
19
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OpenStudy (anonymous):
A.
OpenStudy (anonymous):
how did you get a @Smiley_Funny02
OpenStudy (mathstudent55):
There is a formula for this.
\(S = 180(n - 2)\)
where S is the sum of the measures of the interior angles of a polygon, and n is the number of sides of the polygon.
OpenStudy (mathstudent55):
For your problem, use the formula above.
Replace S with 3060, and solve for n.
OpenStudy (anonymous):
I checked online :)
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OpenStudy (mathstudent55):
BTW, @Smiley_Funny02 did two things wrong:
1. He gave an answer without any explanation.
2. His answer is wrong.
OpenStudy (anonymous):
I said will medal if answered
OpenStudy (anonymous):
correctly
OpenStudy (mathstudent55):
@jakematt24
I gave you the formula. Now you can solve it yourself.
Just do what I wrote above.
Do you still need help?
OpenStudy (anonymous):
Can i just have the answer?
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OpenStudy (agl202):
180(n-2) = 3060
n-2 = 3060/180
n-2 = 17
n = 19 sides
Answer: D.
Hope this helps u!!!