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1). The sum of the measures of the angles of a convex polygon with n sides is _______. 2). The sum of the measures of the exterior angles of any convex polygon is_________. 3). The measure of each angle of a regular polygon with n sides is_________. 4). The sum of the measures of each exterior angles of a regular pentagon is________. 5). The sum of the measure of the interior angles of a convex_____is 1800°. ​.

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Answer:

1). The sum of the measures of the angles of a convex polygon with n sides is S = (n –2) 180°.

2). The sum of the measures of the exterior angles of any convex polygon is 360°.

3). The measure of each angle of a regular polygon with n sides is (2n-4)×90°n.

4). The sum of the measures of each exterior angles of a regular pentagon is n(360°/n).

5). The sum of the measure of the interior angles of a convex 12 sides is 1800°.

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