Understanding Angle Pairs

This lesson covers various types of angle pairs, including vertical, adjacent, complementary, supplementary, and linear pairs. It explains their properties, such as congruence and sums, and provides examples to illustrate these concepts. The lesson concludes with practice problems to reinforce understanding.

What is the defining characteristic of vertical angles?

• They share a common side.

• They are adjacent angles.

• They are congruent angles formed by intersecting lines.

• They sum up to 90 degrees.

Which of the following best describes adjacent angles?

• Angles that are equal in measure.

• Angles that sum up to 180 degrees.

• Angles that are opposite each other.

• Angles that are next to each other and share a common side.

What is the sum of complementary angles?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

If two angles are complementary and one is 40 degrees, what is the measure of the other angle?

• 50 degrees

• 60 degrees

• 70 degrees

• 80 degrees

What is the sum of supplementary angles?

• 90 degrees

• 270 degrees

• 360 degrees

• 180 degrees

Which of the following is true about a linear pair of angles?

• They are formed by parallel lines.

• They are adjacent and supplementary.

• They sum up to 90 degrees.

• They are always equal.

In a linear pair, if one angle is 135 degrees, what is the measure of the other angle?

• 65 degrees

• 55 degrees

• 75 degrees

• 45 degrees

What type of angles are formed when two lines intersect?

• Complementary angles

• Supplementary angles

• Vertical angles

• Linear pair

If two vertical angles are congruent and one measures 45 degrees, what is the measure of the other angle?

• 45 degrees

• 90 degrees

• 135 degrees

• 180 degrees

Which of the following statements is true about vertical angles?

• They are always supplementary.

• They are always complementary.

• They are always congruent.

• They are always adjacent.