Polygon Exterior Angle Sum Theorem

Polygon exterior angles theorem states that the sum of the measures of the exterior angles, one at each vertex, of any convex polygon is _ degrees.

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

A hexagonal-shaped STOP sign has exterior angles that measure 40, 50, 60, 70, and 80. What is the measure of the exterior angle of the sixth vertex?

• 60

• 75

• 80

• 120

Three exterior angles of a pentagon measure 40, 60, and 80. Find the measure of the other two exterior angles, assuming them equal.

• 45

• 60

• 90

• 180

Bees build honeycombs with regular hexagonal cells. What is the measure of each exterior angle of the cell?

• 45

• 50

• 55

• 60

The triangular roof in the school library has exterior angles that are in the ratio of 2: 3: 4. What is the measure of the largest of these angles?

• 96

• 120

• 144

• 216