Polygons With Angles

Draw a pentagon with angles measuring 108°, 108°, 108°, 108°, and 108°.

• The pentagon should have angles measuring 60° each.

• Each angle of the pentagon should measure 90°.

• Each angle of the pentagon should measure 108°.

• The pentagon should have angles measuring 120° each.

Construct a hexagon with angles measuring 120°, 120°, 120°, 120°, 120°, and 120°.

• Equilateral triangle

• Regular hexagon

• Pentagon

• Irregular hexagon

Create an octagon with angles measuring 135°, 135°, 135°, 135°, 135°, 135°, 135°, and 135°.

• 720

• 990

• 900

• 1080

Draw a decagon with angles measuring 144°, 144°, 144°, 144°, 144°, 144°, 144°, 144°, 144°, and 144°.

• Each angle of the decagon measures 144°.

• Each angle of the decagon measures 120°.

• Each angle of the decagon measures 90°.

• Each angle of the decagon measures 180°.

Find the measure of the indicated angle.

• 35

• 145

• 78

• 67

Construct a polygon with 12 sides, where each angle measures 150°.

• Regular Dodecagon

• Hexadecagon

• Decagon

• Irregular Dodecagon

Draw a polygon with 18 sides, where each angle measures 160°.

• Regular polygon with 18 sides, each angle measuring 160°

• Regular polygon with 18 sides, each angle measuring 180°

• Irregular polygon with 18 sides, each angle measuring 160°

• Polygon with 18 sides, each angle measuring 170°

Construct a polygon with 20 sides, where each angle measures 162°.

• Construct a regular 22-sided polygon and then remove 2 sides to form a 20-sided polygon.

• Construct a regular 18-sided polygon and then add 2 sides to form a 20-sided polygon.

• Construct a regular 24-sided polygon and then remove 4 sides to form a 20-sided polygon.

• Construct a regular 20-sided polygon and then remove 2 angles to form a 20-sided polygon.

Create a polygon with 15 sides, where each angle measures 156°.

• The polygon is regular

• Not possible

• The sum of angles is 2340°

• A triangle can be formed