Angles: Complementary and Supplementary Concepts

This video tutorial covers lesson six in geometry, focusing on identifying pairs of angles. It explains complementary angles, which add up to 90 degrees, and supplementary angles, which add up to 180 degrees. The video also introduces vertical angles, which are always congruent. Through examples, the tutorial demonstrates how to solve problems involving these types of angles using algebraic equations.

What is the sum of complementary angles?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

If one angle is 70 degrees, what is the measure of its complementary angle?

• 90 degrees

• 110 degrees

• 30 degrees

• 20 degrees

What is the sum of supplementary angles?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

If one angle is 130 degrees, what is the measure of its supplementary angle?

• 70 degrees

• 80 degrees

• 50 degrees

• 60 degrees

What is the measure of angle X if two complementary angles are 55 degrees and X?

• 45 degrees

• 65 degrees

• 35 degrees

• 25 degrees

What is the measure of angle Y if it is supplementary to angles measuring 55 and 35 degrees?

• 80 degrees

• 70 degrees

• 60 degrees

• 50 degrees

What is true about vertical angles?

• They are always adjacent

• They are always congruent

• They are always complementary

• They are always supplementary

If one vertical angle measures 100 degrees, what is the measure of the opposite vertical angle?

• 80 degrees

• 90 degrees

• 100 degrees

• 110 degrees

In a pair of vertical angles, if one angle is represented as 2x - 5 and the other as x + 30, what is the value of x?

• 25

• 40

• 30

• 35

If angle 1 is 2y - 81 and angle 2 is y + 17, what is the value of y?

• 65

• 81

• 50

• 98