How do you find the sum of the interior angle measures of a convex 16 gon?

Whatever the number of sides of a polygon,

the sum of its exterior angles is always #360^@#

Further, each pair of exterior angle and interior angle adds up to #180^@#

Hence in a polygon with #n# sides (or angles),

the sum of all the interior and exterior angles would be #180^@xxn#

and sum of interior angles would be #180^@xxn-360^@=180^@(n-2)#

Hence sum of interior angles of a convex 16-sided polygon would be #180^@xx(16-2)=180^@xx14=2520^@#.