Question 597182
One angle of a polygon has 140 degrees and the rest are each 40 degrees smaller.  Find the number of sides of the polygon.
-------------
If you mean the rest are each 100 degs:
Possible sums are:
340
440
540 --> 5 sides
640
.
.
.
1440 --> 10 sides
.
.
.
2340 --> 15 sides
etc
The sum has to be a multiple of 180.  Adding 900 degs gives the results.