Exploring Angle Pair Relationships

This lesson covers angle pair relationships, including complementary, supplementary, and vertical angles. It provides definitions, examples, and practice problems to help students understand these concepts. The lesson emphasizes the use of algebra to solve for unknown angles and highlights the importance of congruent angles in geometry.

What is the sum of the measures of two complementary angles?

• 360 degrees

• 90 degrees

• 45 degrees

• 180 degrees

If one angle of a complementary pair is 76 degrees, what is the measure of the other angle?

• 14 degrees

• 104 degrees

• 114 degrees

• 24 degrees

What is the sum of the measures of two supplementary angles?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees

If one angle of a supplementary pair is 62 degrees, what is the measure of the other angle?

• 128 degrees

• 118 degrees

• 152 degrees

• 28 degrees

What are vertical angles?

• Angles that add up to 180 degrees

• Angles that are adjacent to each other

• Angles that are opposite each other at an intersection

• Angles that add up to 90 degrees

If one vertical angle measures 60 degrees, what is the measure of its opposite vertical angle?

• 120 degrees

• 30 degrees

• 60 degrees

• 180 degrees

What does the term 'congruent angles' mean?

• Angles that are adjacent to each other

• Angles that have equal measurements

• Angles that add up to 180 degrees

• Angles that add up to 90 degrees

Which of the following pairs of angles are congruent?

• AED and CEB

• AED and DEB

• LMP and NMP

• AEC and DEB

In a linear pair, if one angle is 3x and the other is 7x, what is the value of x?

• 18

• 10

• 20

• 15

If two angles are complementary and one angle is 2x - 4 degrees and the other is x + 7 degrees, what is the value of x?

• 21

• 25

• 33

• 29