- Adjacent Angles are two angles with a shared side and a common vertex.
- For example, in the diagram shown below, and are adjacent angles.
- If the sum of a pair of adjacent angles is , then they are complementary to each other.
- If the sum of a pair of adjacent angles is , then they are supplementary to each other.
- The pairs of opposite angles formed by intersecting lines are called Vertical Angles or Vertically Opposite Angles.
- For example, in the diagram shown below, and are vertical angles, and so are and .
- Vertical angles are always congruent. Hence, in the diagram above , and .
Question 1: Find the measure of , if .
Question 2: In the figure shown below, find the measure of .
- Two angles having the same vertex and a common side between them are called Adjacent Angles.
- A pair of adjacent angles can be complementary or supplementary angles.
- Vertical angles are pairs of opposite angles formed by intersecting lines.
- Vertical angles are always equal in measure.
- Vertical angles always are congruent.
- Vertical angles cannot be adjacent angles.
- Congruent angles have the same degree measure.