Exploring Angles and the Angle Addition Postulate

This video tutorial covers the basics of angles, including their definition, naming conventions, and classifications. It explains how to estimate angles visually and introduces the angle addition postulate. The tutorial also provides examples of solving angle problems using algebraic methods, emphasizing the importance of understanding angle relationships and calculations.

What is the common endpoint of two rays forming an angle called?

• Vertex

• Apex

• Base

• Tip

Which of the following is NOT a way to name an angle?

• Using the length of the rays

• Using the measure in degrees

• Using the vertex alone

• Using three letters with the vertex in the middle

What is the approximate angle formed by holding your thumb at arm's length?

• 1 degree

• 5 degrees

• 20 degrees

• 10 degrees

How many degrees is an outstretched hand at arm's length approximately?

• 10 degrees

• 15 degrees

• 20 degrees

• 5 degrees

What is the classification of an angle that is exactly 90 degrees?

• Acute

• Right

• Straight

• Obtuse

Which angle classification is greater than 90 degrees but less than 180 degrees?

• Acute

• Right

• Obtuse

• Straight

According to the angle addition postulate, if angle AOB is 30 degrees and angle BOC is 60 degrees, what is the measure of angle AOC?

• 90 degrees

• 120 degrees

• 30 degrees

• 60 degrees

If angle DEAC is 53 degrees and the all-inclusive angle is 64 degrees, what is the measure of angle CAB?

• 31 degrees

• 23 degrees

• 17 degrees

• 11 degrees

In the equation 8x - 6 + 2x + 11 = 20, what is the value of x?

• 1.5

• 2.5

• 2

• 1

If angle 1 is 5x + 6 and angle 2 is 3x + 9, and the all-inclusive angle is 11x - 6, what is the measure of angle 1 when x = 7?

• 35 degrees

• 41 degrees

• 47 degrees

• 53 degrees