Sum of exterior angles = 360 degrees
Sum of interior angles = 1440 degrees
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10
The sum of the interior angles of a n-gon is (n-2)*180 So, (n-2)*180 = 1800 ie n-2 = 10 so that n = 12 It is a 12 sided polygon or dodecagon.
A regular 12 sided polygon each interior angle measures 150 degrees
The sum of the exterior angles of a regular polygon equal 360° . If one such angle measures 36° then the polygon has 360/36 = 10 sides.
If the internal angles are 170 then the external are 180 -170 ie 10 deg. The sum of external angles is always 360 deg so there are 360/10 ie 36 sides. Alternatively, the internal angles of an n-sided polygon always sum to (180n -360) deg, so each angle = (180n -360)/n ie ((180n - 360)/n = 170 ie 180n - 360 = 170n ie 10n = 360 so n = 36