Exploring the Angle Addition Postulate

This video tutorial covers the angle addition postulate, closely related to the segment addition postulate, focusing on angles instead of segments. It introduces key vocabulary such as angles, rays, and congruency marks. The tutorial explains angle bisectors, demonstrating how to construct them using a compass and straight edge. It also covers the angle addition postulate, showing how to find angle measures without a protractor. Finally, it applies algebraic equations to solve for angle measures, using examples to illustrate the process.

What is the term used to describe two figures that are the same size and shape?

• Congruent

• Midpoint

• Arc

• Adjacent

What is the common endpoint called where two rays meet to form an angle?

• Adjacent

• Arc

• Midpoint

• Vertex

What tool is used to construct an angle bisector?

• Calculator

• Compass

• Ruler

• Protractor

What symbol is used to indicate that two angles are congruent?

• Tick marks

• Equal sign

• Curves

• Arcs

According to the angle addition postulate, what is the measure of angle MON if angle MOP is 30° and angle PON is 40°?

• 70°

• 30°

• 40°

• 10°

If the measure of angle TUV is 170° and the measure of angle BUV is 150°, what is the measure of angle TUB?

• 10°

• 170°

• 150°

• 20°

If BX bisects angle ABC and the measure of angle ABX is 5x, what is the measure of angle XBC if it is given as 3x + 10?

• 3x + 10

• 3x

• 5x

• 5x + 10

If the measure of angle AOC is 60° and AO is 4x + 2, what is the value of x?

• 60

• 7

• 15

• 30

If OB bisects angle AOC and the measure of angle AOB is 30°, what is the measure of angle BOC?

• 30°

• 45°

• 15°

• 60°

If the measure of angle ABX is 25° and the measure of angle XBC is also 25°, what is the measure of angle ABC?

• 50°

• 25°

• 75°

• 100°