1. Geo MT 3 Lesson 1
Angle Pairs

2. Angle Pairs Adjacent Angles: 2 angles that are next to each other.
Linear Pair : A linear pair form a straight line. They are also supplementary. (they add to 1800)

3. Angle Pairs
Vertical Angles: A pair of non-adjacent angles formed by the intersection of two straight lines. Vertical angles are always congruent.

4. Complementary Angles
Two angles are complementary if the sum of their measures is 900.

5. Supplementary Angles
Two angles are supplementary if the sum of their measures is 1800.

6. Algebra Examples
The angles in this example are vertical angles so we know they are equal.
Set the two angles equal to each other
Subtract 3x from each side.

7. Here you have a pair of vertical angles
And a linear pair
Begin with the vertical angles
Subtract 4x from both sides
Add 16 to both sides
Divide by 2
The sum of the angles in a linear pair =180
Substitute 11 in for x
Collect like terms