Answers to Evens

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
• 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 Theorem
2
1
3

• Angles 1 and 2 are supplements
• 1 2 180 (angle addition)
• Angles 2 and 3 are supplements
• 2 3 180 (angle addition)
• 1 2 2 3 (substitution)
• 1 3 (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
3
30
40
2
4
1
5
40
6
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