two pairs of adjacent supplementary angles
two pairs of obtuse vertical angles
two pairs of complementary angles
To identify the pairs of angles mentioned, it's crucial to understand the definitions of the angle types involved.
1. Supplementary angles: Two angles are called supplementary if their sum equals 180 degrees.
- Example: Angle A + Angle B = 180 degrees
2. Obtuse angles: An angle is considered obtuse if it measures greater than 90 degrees but less than 180 degrees.
3. Vertical angles: Vertical angles are opposite angles formed by the intersection of two lines. They have equal measures.
4. Complementary angles: Two angles are called complementary if their sum equals 90 degrees.
- Example: Angle C + Angle D = 90 degrees
Now, let's identify the pairs you mentioned:
1. Two pairs of adjacent supplementary angles:
- Two angles are adjacent if they share a common vertex and a common side.
- To find the adjacent supplementary angle pairs, you need to identify pairs of angles that share a common vertex and side and whose sum equals 180 degrees.
2. Two pairs of obtuse vertical angles:
- Since vertical angles are opposite angles, to find obtuse vertical angle pairs, you need to identify pairs of angles that are opposite to each other and both measure greater than 90 degrees.
3. Two pairs of complementary angles:
- To find complementary angle pairs, you need to identify pairs of angles whose sum equals 90 degrees.
By using these definitions, you can determine the specific angles that fulfill the given conditions. Ensure you have the measurements or information about the angles to identify the correct pairs.