1. Vertical Angles, Linear Pairs, Exterior Angles
Coordinate Algebra

2. What’s the difference between vertical angles and linear pairs?
A pair of adjacent angles that form a straight line
Vertical Angles
Angles that are opposite each other when two lines intersect

3. Mathematical Relationship
Vertical Angles
Linear Pair
Equal to each other
Add to 180 degrees
They are supplementary

4. Vertical Angles & Linear Pair
Two angles that are opposite angles. Vertical angles are congruent.
 1   4,  2   3,  5   8,  6   7
Supplementary angles that form a line (sum = 180)
1 & 2 , 2 & 4 , 4 &3, 3 & 1,
5 & 6, 6 & 8, 8 & 7, 7 & 5 1 2 3 4 5 6 7 8
Lesson 2-4: Angles and Parallel Lines

5. 54° ?
Find the missing angle.
54°

6. ?
38°
Find the missing angle.
142°

7. Solve for x.
X = 14

8. Solve for x.
X = 38

9. Exterior Angles Theorem
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle

10. Find the missing angles.
84°
100°
Find the missing angles.

11. Solve for x.
X = 5