Angles of Polygons: Understanding Interior and Exterior Angle Measures

The video tutorial covers the sum of interior and exterior angle measures of polygons. It explains the characteristics of polygons, including convex, concave, and regular types. The tutorial introduces the formula for calculating the sum of interior angles and demonstrates its application through examples. It also discusses the special property of exterior angles summing to 360 degrees for convex polygons, providing practical exercises for finding missing angle values.

What is a key characteristic of a polygon?

• It has intersecting sides.

• It is a closed shape with three or more sides.

• It is a three-dimensional shape.

• It has curved sides.

Which type of polygon has all angles pointing outwards?

• Regular polygon

• Convex polygon

• Concave polygon

• Irregular polygon

What is a regular polygon?

• A polygon with at least one angle greater than 180 degrees

• A polygon with intersecting sides

• A polygon with all angles less than 90 degrees

• A polygon with all sides and angles equal

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

• n x 180

• n x 90

• (n - 2) x 90

• (n - 2) x 180

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

• 540 degrees

• 720 degrees

• 360 degrees

• 900 degrees

If a polygon has 8 sides, what is the sum of its interior angles?

• 1260 degrees

• 720 degrees

• 900 degrees

• 1080 degrees

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

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

In a convex polygon, what is true about the exterior angles?

• They are all greater than 180 degrees.

• They add up to 180 degrees.

• They add up to 360 degrees.

• They are all equal.

If the exterior angles of a polygon are 105, 105, and 150 degrees, what is the missing angle?

• 90 degrees

• 100 degrees

• 105 degrees

• 110 degrees

What is the measure of the missing exterior angle if the other angles are 50, 127, and 91 degrees?

• 92 degrees

• 110 degrees

• 120 degrees

• 100 degrees