Angles in Polygons Quiz

Which of the following is a characteristic of a convex polygon?

• It has at least one interior angle greater than 180 degrees.

• All its interior angles are less than 180 degrees.

• It has a curved side.

• It has intersecting sides.

What is a diagonal in a polygon?

• A line segment joining two consecutive vertices.

• A line segment that is parallel to one of the sides.

• A line segment that bisects an angle.

• A line segment joining two non-consecutive vertices.

How do you calculate the sum of interior angles of a polygon with n sides?

• 180(n+2)

• 360(n+2)

• 180(n-2)

• 360(n-2)

What is the sum of the interior angles of a hexagon?

• 900 degrees

• 1080 degrees

• 720 degrees

• 540 degrees

In a regular octagon, what is the measure of each interior angle?

• 120 degrees

• 135 degrees

• 150 degrees

• 165 degrees

If each interior angle of a regular polygon is 150 degrees, how many sides does the polygon have?

• 15

• 10

• 18

• 12

How many sides does a polygon have if the sum of its interior angles is 1260 degrees?

• 8

• 9

• 10

• 7

What is the sum of the exterior angles of any polygon?

• 360 degrees

• 540 degrees

• 270 degrees

• 180 degrees

In a regular decagon, what is the measure of each exterior angle?

• 40 degrees

• 36 degrees

• 45 degrees

• 30 degrees

What is the measure of each exterior angle in a regular polygon with 12 sides?

• 20 degrees

• 50 degrees

• 40 degrees

• 30 degrees