2.

Suppose you have two convex polygons, one regular and the other

irregular. Determine the similarities and differences between the interior

and exterior angles of both polygons.

Step-by-step explanation:

Consider the provided information.

A convex polygon is a polygon with all its interior angles less than 180°.

Regular polygon is a polygon in which all angles are equal and all sides are the same length.

An irregular polygon does not have congruent sides and interior angles.

From the above definitions we can identify the similarities and differences between the interior and exterior angles of both polygons.

Difference:

The interior angles of regular polygon are equal.

Since, the interior angles of a regular polygon are equal, the exterior angles must also be equal to one another.

The interior angle of irregular polygons are not equal, however, each exterior angle may have a different measurement as well.

Similarity:

The sum of interior angles for both polygon are equal. Also the sum of exterior angles for both polygon are equal.