Measuring and Classifying Angles

In this video, Mr. Backberg explains the angle addition postulate, which states that the sum of two smaller angles equals the larger angle they form. He provides examples using algebraic expressions to solve for unknown variables. The video also covers straight and right angles, demonstrating how to apply the postulate in these contexts. Additionally, the concept of congruent angles is introduced, including how to identify them visually and the role of an angle bisector in creating congruent angles.

What does the angle addition postulate state?

• The difference between two smaller angles equals the larger angle they form.

• The product of two smaller angles equals the larger angle they form.

• The ratio of two smaller angles equals the larger angle they form.

• The sum of two smaller angles equals the larger angle they form.

In the angle addition postulate, if the measure of angle RSP is 2x + 10 and the measure of angle PST is 4x - 3, what is the measure of angle RST?

• 6x + 7

• 2x + 7

• 4x + 7

• 6x - 7

If the measure of angle RST is 145 degrees, and the measures of angles RSP and PST are 2x + 10 and 4x - 3 respectively, what is the value of x?

• 20

• 21

• 22

• 23

What is the measure of a straight angle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

In the example with a straight angle, if the measures of the two smaller angles are 10x - 5 and 4x + 3, what is the value of x?

• 11

• 12

• 13

• 14

What does the box in the corner of an angle represent?

• A right angle

• An obtuse angle

• An acute angle

• A straight angle

In the example with a right angle, if the measures of the two smaller angles are 2x + 2 and x + 1, what is the value of x?

• 30

• 29

• 27

• 28

What does it mean for two angles to be congruent?

• They have the same measure.

• They are supplementary.

• They are complementary.

• They are adjacent.

How are congruent angles typically marked?

• With a triple arc

• With a double arc

• With a single arc

• With a box in the corner

What is an angle bisector?

• A ray that divides an angle into two congruent angles

• A line that divides an angle into two unequal parts

• A segment that connects two points on an angle

• A point that lies on the angle