Exploring Vertical and Adjacent Angles

What defines a pair of vertical angles?

• Angles that are always supplementary

• Angles that add up to 180 degrees

• Opposite angles formed by intersecting lines

• Angles that share a common side

Are vertical angles always congruent?

• Only if they are adjacent

• Yes, they have the same measure

• No, they are supplementary

• No, they are complementary

What is a common characteristic of adjacent angles?

• They add up to 90 degrees

• They share a common vertex and side

• They are always congruent

• They are opposite angles

In the context of adjacent angles, what does congruency depend on?

• The angles being vertical

• The angles sharing a common side

• The specific degree measure of the angles

• None of the above

How can you determine the measure of an unknown angle when given one angle of a vertical pair?

• Subtract from 180 degrees

• It is equal to the given angle

• Add the given angle to 90 degrees

• None of the above

What is the sum of the measures of adjacent angles that form a straight line?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

If two angles are adjacent and form a right angle, what is their sum?

• 90 degrees

• 360 degrees

• 180 degrees

• 45 degrees

When solving for angle X in the equation X + 10 = 2X - 90, what is the value of X?

• 70 degrees

• 90 degrees

• 80 degrees

• 100 degrees

If angle Y and angle Z are vertical angles and angle Y is 70 degrees, what is the measure of angle Z?

• 90 degrees

• 180 degrees

• 100 degrees

• 70 degrees

In a scenario where two angles form a straight line and one angle is X + 120 degrees, what is the measure of X if the total is 180 degrees?

• 30 degrees

• 60 degrees

• 120 degrees

• 150 degrees