Polygon Angles and Tessellations

This video tutorial covers the basics of polygons, including definitions and properties of regular polygons. It explains how to calculate the sum of interior angles using a formula and how to find individual angle measures in regular polygons. The tutorial also addresses solving for missing angles in polygons and understanding exterior angles. Finally, it explores tessellations and their geometric properties.

Which of the following is a regular polygon?

• Rectangle

• Square

• Rhombus

• Trapezoid

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

• 540 degrees

• 720 degrees

• 900 degrees

• 1080 degrees

How do you find the measure of each angle in a regular octagon?

• Divide 360 by 8

• Divide 1080 by 8

• Divide 1350 by 8

• Divide 1440 by 8

If a pentagon has angles expressed as x, 2x, 100, 140, and 100, what is the value of x?

• 40

• 80

• 60

• 20

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

• 180 degrees

• 270 degrees

• 360 degrees

• 450 degrees

How many sides does a polygon have if each exterior angle measures 30 degrees?

• 10

• 18

• 12

• 15

What is a tessellation?

• A pattern with no gaps

• A polygon with more than 10 sides

• A type of triangle

• A shape with equal sides

In a tessellation with hexagons, what is the measure of each interior angle?

• 135 degrees

• 150 degrees

• 120 degrees

• 90 degrees

Which combination of shapes can form a tessellation?

• Octagons and squares

• Circles and triangles

• Pentagons and hexagons

• Triangles and rectangles

What is the measure of each exterior angle in a regular pentagon?

• 72 degrees

• 60 degrees

• 54 degrees

• 90 degrees