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All external angles add up to 360deg
Total number of external angles in the polygon (excluding the one with 80deg exterior angle)
= (360-80)/35
=8
Add back the 80deg exterior angle:
8+1=9
Total number of external angles in the polygon (excluding the one with 80deg exterior angle)
= (360-80)/35
=8
Add back the 80deg exterior angle:
8+1=9
Thank you