Identifying Adjacent and Vertical Angles

What defines adjacent angles?

• Angles that are both acute

• Angles that add up to 180 degrees

• Angles that share a common vertex and side

• Angles that are opposite each other

Which pair is NOT adjacent?

• Angles 1 and 3

• Angles 3 and 4

• Angles 2 and 3

• Angles 1 and 2

What is a key property of vertical angles?

• They add up to 90 degrees

• They are congruent

• They are always obtuse

• They share a common side

If angle ABC is 40 degrees, what is the measure of angle CBD?

• 90 degrees

• 40 degrees

• 50 degrees

• 130 degrees

How do you find the measure of an angle if it forms a 90-degree angle with an adjacent angle?

• Multiply by two

• Subtract from 90 degrees

• Add the measures and divide by two

• Subtract from 180 degrees

What is the measure of an angle adjacent to a 35-degree angle if they sum to 90 degrees?

• 35 degrees

• 45 degrees

• 65 degrees

• 55 degrees

If one vertical angle measures 70 degrees, what is the measure of its opposite angle?

• 100 degrees

• 70 degrees

• 90 degrees

• 110 degrees

What is the measure of angle x if it is vertical to an angle measuring 128 degrees?

• 90 degrees

• 52 degrees

• 128 degrees

• 148 degrees

How do you solve for x if x plus 117 equals 180?

• x = 63

• x = 180

• x = 73

• x = 117

What is the measure of an angle that forms a straight line with a 117-degree angle?

• 63 degrees

• 117 degrees

• 180 degrees

• 73 degrees