Polygon Angles and Properties

This video tutorial introduces Chapter Eight, focusing on finding angle measures in polygons, particularly quadrilaterals. It covers calculating interior angle sums using a formula, solving for the number of sides in a polygon, and understanding exterior angles. The video includes several example problems to illustrate these concepts, emphasizing the use of formulas and problem-solving techniques. The tutorial concludes with a discussion on the exterior angles theorem, highlighting that the sum of exterior angles in any convex polygon is always 360 degrees.

What is the main focus of Chapter 8 in the video?

• Triangles

• Hexagons

• Quadrilaterals

• Circles

Which of the following is NOT an objective of the lesson?

• Calculating interior angle sums

• Learning about circle circumferences

• Using the interior angle formula

• Understanding properties of exterior angles

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

• 180 degrees

• 540 degrees

• 360 degrees

• 90 degrees

How do you calculate the sum of interior angles of an n-gon?

• 180 * (n - 2)

• 180 * (n - 1)

• 360 * (n - 2)

• 360 * (n - 1)

What is the sum of the interior angles of a convex octagon?

• 1260 degrees

• 1080 degrees

• 900 degrees

• 720 degrees

If the sum of the interior angles of a polygon is 2160 degrees, how many sides does it have?

• 12

• 14

• 18

• 16

In a pentagon, if two angles are congruent and the other three are 93, 156, and 85 degrees, what is the measure of the congruent angles?

• 106 degrees

• 109 degrees

• 103 degrees

• 100 degrees

What is the measure of one interior angle of a regular nonagon?

• 150 degrees

• 120 degrees

• 130 degrees

• 140 degrees

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

• 450 degrees

• 180 degrees

• 360 degrees

• 270 degrees

In the given diagram, if the exterior angles are 2x, x, 89, and 67 degrees, what is the value of x?

• 60

• 72

• 75

• 68