Polygon Angle Sums and Properties

The video tutorial explains how to find the angle sum of irregular polygons using the formula S = 180 * (n - 2), where n is the number of sides. It demonstrates this with examples of a pentagon and a heptagon, calculating their angle sums as 540° and 900°, respectively. The tutorial also shows how to find a missing angle in these polygons by subtracting the sum of known angles from the total angle sum. Both examples result in a missing angle of 112°, but the video notes this will not always be the case.

What is the first step in finding the angle sum of an irregular polygon?

• Divide the polygon into triangles.

• Measure each angle individually.

• Use the formula s = 180 * (n - 2).

• Count the number of angles.

In the formula s = 180 * (n - 2), what does 'n' represent?

• The number of sides in the polygon.

• The number of angles in the polygon.

• The number of vertices in the polygon.

• The total angle sum of the polygon.

What is the formula used to calculate the angle sum of a polygon?

• s = 360 * (n - 2)

• s = 90 * (n - 2)

• s = 270 * (n - 2)

• s = 180 * (n - 2)

What is the angle sum of a quadrilateral?

• 180°

• 360°

• 540°

• 720°

What is the angle sum of a hexagon?

• 540°

• 720°

• 900°

• 360°

What is the angle sum of an octagon?

• 1080°

• 1260°

• 720°

• 900°

What is the angle sum of a decagon?

• 1980°

• 1440°

• 1620°

• 1800°

What is the angle sum of a nonagon?

• 1080°

• 1620°

• 1440°

• 1260°

What is the angle sum of a dodecagon?

• 2160°

• 2340°

• 1980°

• 1800°

What is the angle sum of a triangle?

• 90°

• 180°

• 360°

• 270°