140 degrees
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Providing it is a regular nonagon: Exterior angle: 40 degrees Interior angle: 140 degrees
Each exterior angle measures 40 degrees
It is: 180-exterior angle = interior angle
Method 1: Exterior angle of n-sided regular polygon is 360/n degrees, in this case 40 so interior angle is 180 - 40 ie 140 degrees; Method 2: Interior angles of regular n-sided polygon total 180n - 360 degrees, in this case 1260 degrees so each angle is 1260/9 ie 140 degrees.
Each interior angle will measure 162 degrees