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.) 144� B.) 104�

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.) 144�
B.) 104�
C.) 96�
D.) 108�
E.) 112�
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): You can put this solution on YOUR website!

First, determine what the total degrees for a nonagon is
=>
=>

+ ... +
+ ... +
* ( + ... +)

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

so, your answer is: C.) �

Answer by ikleyn(52876)   (Show Source): You can put this solution on YOUR website!
.

            The solution by @MathLover1 is   I N C O R R E C T.

            It is   T O T A L L Y   W R O N G,   to be precise.

This problem came to the forum 2-3 days ago, and I correctly solved it under this link

https://www.algebra.com/algebra/homework/Polygons/Polygons.faq.question.1132033.html

https://www.algebra.com/algebra/homework/Polygons/Polygons.faq.question.1132033.html

RELATED QUESTIONS
The interior angles of a convex nonagon have degree measures that are integers in... (answered by Alan3354)
The interior angles of a convex nonagon have degree measures that are integers in... (answered by Alan3354,ikleyn,greenestamps)
The interior angles of a convex nonagon have degree measures that are integers in... (answered by ikleyn)
The measures of the interior angles of a convex 9-gon form an arithmetic sequence and,... (answered by richard1234)
The sum of the measures of eight interior angles of a convex nonagon is 1190. Find the... (answered by Alan3354)
1.) two angles of a quadrilateral are congruent and each of their measures is 110. what (answered by stanbon)
suppose the measures of the interior angles of convex nonagon are nine consecutive whole... (answered by Alan3354)
What is the sum of the measures of the interior angles of a convex... (answered by fractalier)
For a convex 40-gon, what is the sum of the measures of the interior... (answered by Alan3354)