Understanding Vertical and Adjacent Angles

What are vertical angles?

• Angles that are always congruent

• Angles that share a common side and vertex

• Pairs of opposite angles formed by intersecting lines

• Angles that add up to 90 degrees

Which of the following is true about vertical angles?

• They are always adjacent

• They are always congruent

• They always add up to 180 degrees

• They are never congruent

What defines adjacent angles?

• Angles that form a straight line

• Angles that are opposite each other

• Angles that share a common side and vertex

• Angles that are always congruent

Which of the following is NOT a characteristic of adjacent angles?

• They share a common vertex

• They share a common side

• They are always congruent

• They can add up to 90 or 180 degrees

In example 1, if one angle is 40 degrees, what is the measure of its vertical angle?

• 180 degrees

• 140 degrees

• 90 degrees

• 40 degrees

In example 2, if two adjacent angles form a right angle and one measures 55 degrees, what is the measure of the other angle?

• 55 degrees

• 90 degrees

• 35 degrees

• 45 degrees

In example 3, if angle X is 100 degrees, what is the measure of its vertical angle?

• 70 degrees

• 100 degrees

• 140 degrees

• 110 degrees

In example 3, if angle Y is 70 degrees, what is the measure of angle Z?

• 100 degrees

• 110 degrees

• 140 degrees

• 70 degrees

In example 4, if two adjacent angles form a straight line and one measures X + 120 degrees, what is the value of X?

• 30

• 60

• 90

• 120

In example 4, if the sum of two adjacent angles is 180 degrees, what type of line do they form?

• A straight line

• An obtuse angle

• An acute angle

• A right angle