1. 2.4: Special Pairs of Angles

2. Complementary Angles: 2 angles whose measures have the sum 90 degrees
Supplementary Angles: 2 angles whose measures have the sum 180 degrees

3. Problem
A supplement of an angle is 4 times as large as a complement of the angle. Find the measure of the angle

4. Problem
A supplement of an angle is 4 times as large as a complement of the angle. Find the measure of the angle
X = angle
180 – x = supplement
90 – x – complement
180 – x = 4(90 – x)

5. Vertical Angles: 2 angles such that the sides of one angle are opposite rays to the sides of the other angle

6. Vertical Angles: 2 angles such that the sides of one angle are opposite rays to the sides of the other angle
Theorem 2-3: Vertical angles are congruent

7. Theorem 2-3: Vertical angles are congruent
Vertical Angles: 2 angles such that the sides of one angle are opposite rays to the sides of the other angle
Theorem 2-3: Vertical angles are congruent
Try to prove from scratch given that two angles are vertical angles
Start with making a diagram

8. Classwork
Example 2 on page 51
Pg 52, Number 21

9. Homework
Pg 52: odd, 34