Exploring Angle Pair Relationships

What is the definition of adjacent angles?

• Two angles that share a vertex and a side

• Two angles that add up to 90 degrees

• Two angles that are opposite each other

• Two angles that add up to 180 degrees

Which of the following is NOT a common mistake when identifying adjacent angles?

• Two angles that share a vertex and a side

• Two angles that share a side but do not have a common vertex

• Two angles that share a vertex but have another angle in between

• Two angles that are opposite each other

When are two angles considered complementary?

• When their measures add up to 180 degrees

• When they are opposite each other

• When their measures add up to 90 degrees

• When they share a vertex and a side

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

• 45 degrees

• 360 degrees

• 180 degrees

• 90 degrees

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

• Complementary angles add up to 180 degrees, supplementary angles add up to 90 degrees

• Complementary angles are opposite each other, supplementary angles share a side

• Complementary angles form a straight line, supplementary angles form a corner

• Complementary angles add up to 90 degrees, supplementary angles add up to 180 degrees

What is a linear pair?

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

• Two angles that share a vertex and a side

• Two angles that add up to 90 degrees

• Two angles that are opposite each other

Which of the following statements is true about vertical angles?

• Vertical angles are always opposite each other

• Vertical angles are always complementary

• Vertical angles are always adjacent

• Vertical angles are always supplementary

If angle 1 and angle 5 share a vertex and a side, and their measures add up to 180 degrees, what type of angles are they?

• Linear pair

• Vertical

• Complementary

• None of the above

Which pair of angles are vertical in the given example?

• Angle 5 and Angle 3

• Angle 1 and Angle 5

• Angle 1 and Angle 4

• Angle 3 and Angle 4

Why are angles 3 and 5 not considered vertical angles?

• They do not add up to 180 degrees

• They are not adjacent

• They do not form two pairs of opposite rays

• They do not share a vertex