Can vertical angles be complementary

The video tutorial covers the concepts of vertical and complementary angles, explaining their properties and how they relate to each other. It discusses whether vertical angles can be complementary and explores the idea of linear pairs and supplementary angles. The teacher uses examples and engages students in understanding these geometric concepts.

What is a characteristic of vertical angles?

• They share a common vertex but no sides.

• They are formed by parallel lines.

• They share a common side.

• They always add up to 180 degrees.

What is the sum of complementary angles?

• 360 degrees

• 45 degrees

• 90 degrees

• 180 degrees

Can vertical angles be complementary?

• Yes, if both angles are 45 degrees.

• No, they can never be complementary.

• Yes, if both angles are 90 degrees.

• No, they are always supplementary.

What defines a linear pair of angles?

• They share a common vertex but no sides.

• They always add up to 90 degrees.

• They are adjacent and formed by two opposite rays.

• They are formed by intersecting lines.

What is the sum of angles in a linear pair?

• 45 degrees

• 180 degrees

• 90 degrees

• 360 degrees

Why are angles in a linear pair considered supplementary?

• Because they are always equal.

• Because they add up to 180 degrees.

• Because they are formed by parallel lines.

• Because they share a common side.

What is the measure of angle 3 if angle 1 is 45 degrees in a linear pair?

• 180 degrees

• 90 degrees

• 45 degrees

• 135 degrees