1. Answers to Evens 2) Definition of Bisector 4) Angle Addition Postulate
6) Midpoint Theorem
8) Segment Addition Postulate
10) 75
12) c) 90
14) RSZ = 18, NSZ = 54

2. 2-4 Special Pairs of Angles
Answers to Warm Ups
1) Midpoint Theorem
2) Angle Add. Post.
3) Angle Bisector Def.
4) Midpoint Definition
5) Segment Add. Post.

3. Types of Angles Complementary: Two angles whose sum is 90.
Supplementary: Two angles whose sum is 180.

4. TOO Find the complement and supplement of each angle 1) 32° 2) 87°
1) 32° 2) 87°
3) 110° 4) g°
Answers:
1) c = 58° s = 148°
2) c = 3° s = 93 °
3) c = NONE s = 70°
4) c = (90 – g)° s = (180 – g)°

5. Vertical Angle Theorem2 1
Vertical Angle Theorem 3
Angles 1 and 2 are supplements
= 180 (angle addition)
Angles 2 and 3 are supplements
= 180 (angle addition)
= (substitution)
1 = (subtraction)
Angles 1 and 3 are called vertical angles (opposite of each other).
Theorem: Vertical angles are congruent

6. TOO
If the measure of angle 1 is 40 and the measure of angle 2 is 30, find the other missing angles
110 30 3 40 2 4 40 1 6 5 30
110

7. Example
The measure of a complement is 3 more than twice the measure of the angle. Find the measure of each angle.
1st: x
2nd: 2x + 3
x + 2x + 3 = 90
x = 29
2(29) + 3 = 61
Answers: 29 and 61
90 – 29 = 61

8. Homework Page 52 #1-33 Flash Cards Complements Supplements
Vertical Angle Theorem