SOLUTION: The interior angles of a convex nonagon have degree measures that are integers in arithmetic sequence. What is the smallest angle possible in this nonagon?
A.) 144º
B.) 104º
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-> SOLUTION: The interior angles of a convex nonagon have degree measures that are integers in arithmetic sequence. What is the smallest angle possible in this nonagon?
A.) 144º
B.) 104º
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Question 1132061: The interior angles of a convex nonagon have degree measures that are integers in arithmetic sequence. What is the smallest angle possible in this nonagon?
A.) 144º
B.) 104º
C.) 96º
D.) 108º
E.) 112º
Note: if you figured out the smallest angle, please give the rest of the 8 angles so I can see the arithmetic sequence. Thank you!! Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20850) (Show Source):
So the 5th term will be degrees
Since it's , then all of the angles will be greater than degrees
So the greatest integer value can be is
Technically the answer is => => =>
since there is no choice for , we have
will be our angle
=> is the smallest answer in the available answer set
