Exploring Pairs of Angles: Complementary, Supplementary, and More

The video tutorial covers various concepts related to lines and angles, including complementary and supplementary angles, adjacent angles, linear pairs, vertically opposite angles, and transversals. It explains how these angles are formed, their properties, and provides examples to illustrate each concept. The tutorial also includes problem-solving exercises to find angle measurements, enhancing understanding of these geometric principles.

What is the sum of two complementary angles?

• 180 degrees

• 360 degrees

• 45 degrees

• 90 degrees

If one angle is 30 degrees, what is its complement?

• 150 degrees

• 120 degrees

• 90 degrees

• 60 degrees

What is the sum of two supplementary angles?

• 90 degrees

• 45 degrees

• 180 degrees

• 360 degrees

If one angle is 60 degrees, what is its supplement?

• 30 degrees

• 150 degrees

• 90 degrees

• 120 degrees

What defines two angles as adjacent?

• They add up to 90 degrees

• They add up to 180 degrees

• They share a common vertex and arm

• They are equal in measure

What is a linear pair of angles?

• Two angles that add up to 90 degrees

• Two angles that are equal

• Two adjacent angles whose non-common arms form a straight line

• Two angles that add up to 180 degrees

What is true about vertically opposite angles?

• They are always adjacent

• They are always equal

• They are always supplementary

• They are always complementary

If angle 1 is 32 degrees, what is the measure of its vertically opposite angle?

• 64 degrees

• 180 degrees

• 32 degrees

• 148 degrees

What is a transversal?

• A line that bisects an angle

• A line that forms a right angle with another line

• A line that is parallel to another line

• A line that intersects two or more lines at different points

In the given figure, if transversal PQ cuts lines AB and CD at points L and M, what is PQ?

• A parallel line

• A perpendicular line

• A bisector

• A transversal