Exterior Angles of Polygons

The video tutorial explains that the sum of exterior angles of any polygon is always 360°. It begins by demonstrating this with triangles, showing that regardless of the triangle's shape, the exterior angles add up to 360°. The concept is further explored with quadrilaterals, pentagons, hexagons, and decagons, all confirming the same result. The tutorial also explains the relationship between turns and exterior angles, emphasizing that a complete turn equals 360°. Finally, it challenges viewers to consider polygons with vertices pointing inward, questioning if the sum remains 360°.

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

• 540°

• 360°

• 180°

• 720°

Why do the exterior angles of a triangle add up to 360°?

• Because triangles are always equilateral

• Because a complete turn is 360°

• Because the sum of interior angles is 180°

• Because a triangle has three sides

If a triangle has exterior angles of 115°, 125°, and 120°, what is their sum?

• 360°

• 380°

• 340°

• 370°

How many turns are made when going around a quadrilateral?

• Two

• Five

• Three

• Four

What is the sum of the exterior angles of a quadrilateral?

• 360°

• 450°

• 270°

• 180°

For a pentagon, how many turns are made to return to the initial direction?

• Four

• Six

• Three

• Five

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

• 540°

• 360°

• 180°

• 720°

Does the sum of exterior angles change with the size of the polygon?

• Yes, it increases with size

• No, it remains 360°

• Yes, it decreases with size

• No, it becomes 180°

How many exterior angles does a decagon have?

• Eleven

• Ten

• Nine

• Eight

What is the sum of the exterior angles of a decagon?

• 360°

• 180°

• 720°

• 540°