1. Find the complement of, where WARM UP An angle measures 6 more than 3 times its supplement. Find the measure of its supplement.

3. Complimentary Angles Angles that sum to 90°

4. Supplementary Angles Angles that sum to 180°

5. Not all intersecting lines form right angles, but they do form four angles that have special relationships. V Z W Y X

6. Adjacent To be next to. SHARING a side.

7. Vertical Angles Two non-adjacent angles formed by two intersecting lines. Angles that are ACROSS from each other when two lines cross.

8. Vertical Angles V Z W Y X Vertical angles are ALWAYS CONGRUENT

9. Linear Pair Adjacent angles whose non- common sides are opposite rays. Two adjacent angles that are supplementary.

10. Linear Pair V Z W Y X m  YZV + m  VZX = 180°

11. Example 1 AC and DE intersect at B. Find the value of ‘x’ and the measure of  EBC. A B C D E (2x + 20)  (3x + 15) 

12. Example 2 GH and JK intersect at I. Find the value of ‘x’ and the measure of  JIH. G I H K J (16x – 20)  (13x + 7) 

13. Example 3 LN and OP intersect at M. Find the value of ‘x’ and the measures of  LMO and  OMN. L M N O P (7x + 20)  (5x + 10) 

14. Example 4 If  1 and  2 are complements, with m  1 = (2x + 20)  and m  2 = (3x + 15) , find the value of ‘x’.

15. Example 5 Find all of the missing angles. m  1 = __________ m  2 = __________ m  3 = __________ m  4 = __________ 1 2 3 4 110  45 

16. Example 6 CD  AB, m  1 = (6x – 3) , m  2 = (7x – 11) . Find the value of ‘x’. A B D 2 1 C