1. Special pairs of angles

2. Adjacent Angles • Have a common vertex and a common side.

3. •. Complementary angles. •. Add up to 90o. •. 34o and 56o are
• Complementary angles • Add up to 90o • 34o and 56o are complementary. • The complement of 70o is 20o.

5. Angles that are both complementary and adjacent together form a right angle.

6. •. Supplementary angles. •. Add up to 180o. •. 115o and 65o are
• Supplementary angles • Add up to 180o • 115o and 65o are supplementary. • The supplement of 40o is 140o.

8. •. Linear Pair. •. Two adjacent. angles. that together. form a line. •
• Linear Pair • Two adjacent angles that together form a line • The angles in a linear pair are always supplementary.

9. Solve for x, and find the size of the angles.

10. 4x x – 10 = 180 5x + 10 = 180 5x = 170  x = 34

11. Since x = 34 … 4x + 20 = 156 x – 10 = 24

12. •. Vertical angles. •. When lines cross, the. angles that are across
• Vertical angles • When lines cross, the angles that are across from each other are vertical angles.

14. • The name comes from the fact that they only touch at the vertex.

16. • Vertical angles always are congruent.

19. Solve for x.

20. Solve for x x = 45

21. Angle Bisector  A ray that divides an angle into two congruent angles

22. REMEMBER … adjacent complementary supplementary linear pair vertical angles angle bisector