Angle Relationships Quiz Questions

1. What is the measure of angle A?

28 degrees

62 degrees

118 degrees

45 degrees

The measure of angle A is 62 degrees because it is the only option that is mentioned in the given answer choices.

Explanation

The measure of angle A is 62 degrees because it is the only option that is mentioned in the given answer choices.

2. Identify the angle relationship between the two angles shown.

Vertical Angles

Supplementary and Adjacent Angles

Complementary and Adjacent Angles

Congruent Angles

The two angles shown are complementary and adjacent angles. Complementary angles are two angles that add up to 90 degrees, and adjacent angles are two angles that share a common side and vertex. In this case, the two angles are next to each other and their measures add up to 90 degrees, indicating that they are complementary.

Explanation

The two angles shown are complementary and adjacent angles. Complementary angles are two angles that add up to 90 degrees, and adjacent angles are two angles that share a common side and vertex. In this case, the two angles are next to each other and their measures add up to 90 degrees, indicating that they are complementary.

3. Complementary angles are ALWAYS adjacent angles.

True

False

Complementary angles are angles that add up to 90 degrees. They do not have to be adjacent or next to each other. Therefore, the statement that complementary angles are always adjacent angles is false.

Explanation

Complementary angles are angles that add up to 90 degrees. They do not have to be adjacent or next to each other. Therefore, the statement that complementary angles are always adjacent angles is false.

4. Identify the angle relationship of these two angles.

Adjacent and Complementary

Supplementary Angles

Vertical Angles

Supplementary and Adjacent Angles

The two angles are supplementary angles because they add up to 180 degrees. Supplementary angles are a pair of angles that when added together, result in a straight angle. In this case, the two angles are not adjacent or complementary, and they are not vertical angles either. They are simply supplementary angles.

Explanation

The two angles are supplementary angles because they add up to 180 degrees. Supplementary angles are a pair of angles that when added together, result in a straight angle. In this case, the two angles are not adjacent or complementary, and they are not vertical angles either. They are simply supplementary angles.

5. Another name for supplementary angles is ___________________________.

Adjacent Angles

Vertical Angles

Congruent Angles

Linear Pair

Supplementary angles are a pair of angles that add up to 180 degrees. A linear pair is a special type of supplementary angles where the angles are adjacent and form a straight line. Therefore, another name for supplementary angles is a linear pair.

Explanation

Supplementary angles are a pair of angles that add up to 180 degrees. A linear pair is a special type of supplementary angles where the angles are adjacent and form a straight line. Therefore, another name for supplementary angles is a linear pair.