Angle Pairs: Key Concepts and Applications

This video tutorial covers various types of angle pairs in geometry, including complementary, supplementary, adjacent, linear pairs, and vertical angles. It explains their definitions, properties, and relationships, providing examples and problem-solving techniques to help students understand and apply these concepts effectively.

What is the definition of an angle?

• A figure formed by two lines with the same endpoint

• A figure formed by two rays with different endpoints

• A figure formed by two rays with the same endpoint

• A figure formed by two lines with different endpoints

When two or more angles add up to 90 degrees, they are called:

• Vertical angles

• Complementary angles

• Supplementary angles

• Adjacent angles

What is the sum of the measures of supplementary angles?

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

How can you remember the difference between complementary and supplementary angles?

• Complementary angles form a straight line

• Supplementary angles add up to 90 degrees

• Complementary angles add up to 180 degrees

• Complementary angles can form a 90-degree angle in the word

What are adjacent angles?

• Two angles that share a common vertex and side but have no common interior points

• Two angles that add up to 180 degrees

• Two angles that are opposite each other

• Two angles that add up to 90 degrees

What is a linear pair of angles?

• Two angles that are opposite each other

• Two angles that share a common vertex and side

• Two angles that add up to 90 degrees

• Two adjacent angles whose non-common sides are opposite rays

What is the relationship between vertical angles?

• They are always supplementary

• They are always congruent

• They are always adjacent

• They are always complementary

If angle 1 and angle 3 are vertical angles, what can be said about their measures?

• They add up to 90 degrees

• They are equal

• They are adjacent

• They add up to 180 degrees

If angle ABC and angle DBC are complementary and angle ABC is 64 degrees, what is the measure of angle DBC?

• 26 degrees

• 64 degrees

• 90 degrees

• 116 degrees

If angle ABC and angle CBD form a linear pair and angle ABC is 97 degrees, what is the measure of angle CBD?

• 77 degrees

• 83 degrees

• 97 degrees

• 180 degrees