Exploring Angle Relationships in Geometry

What defines adjacent angles?

• Angles that add up to 180 degrees

• Angles that share a common side and vertex but do not overlap

• Angles that add up to 90 degrees

• Angles opposite each other when two lines intersect

What is the sum of complementary angles?

• 90 degrees

• 180 degrees

• 45 degrees

• 360 degrees

What is the sum of supplementary angles?

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees

How can you indicate that two angles are congruent?

• By drawing a circle around them

• By coloring them the same

• By using arcs and hash marks

• By writing their degree measures next to them

If two angles are vertical angles, what can be said about their measures?

• They are supplementary

• They are complementary

• They are equal

• They are adjacent

How do you solve for an angle when given an equation involving vertical angles?

• By adding the angles together

• By subtracting one angle from another

• By setting the angles equal to each other and solving for the variable

• By multiplying the angles

What are linear pairs of angles?

• Pairs of angles that are congruent

• Pairs of angles that add up to 90 degrees

• Pairs of angles that are both acute

• Pairs of angles that form a straight line and add up to 180 degrees

How do you find the measure of angle JNL if angle INJ is 61 degrees?

• Multiply 61 degrees by 2

• Subtract 61 degrees from 90 degrees

• Add 61 degrees to 90 degrees

• Subtract 61 degrees from 180 degrees

What is the measure of angle KNL given angle KNI is 90 degrees?

• 61 degrees

• 45 degrees

• 180 degrees

• 90 degrees

If angle INJ is 61 degrees, what is the measure of angle MNL?

• 90 degrees

• 180 degrees

• 119 degrees

• 61 degrees