The smallest interior angle of the given regular polygon with 36 sides is; 170°
How to find the sum of interior angles of a polygon?
The formula for calculating the sum of interior angles of a regular polygon is; S = (n − 2) × 180°
where n is number of sides of the polygon
We are told that number of sides of ploygon is 36. Thus;
S = (36 - 2) × 180°
S = 6120°
Thus;
Smallest possible angle of polygon = 6120/36 = 170°
Sum of external angles of a regular polygon is;
S = 360/n
S = 360/36
S = 10°
Read more about Polygon Angles at; https://brainly.com/question/1592456
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