1. 4-18

2. Do Now 4/18 Find m∠3 if m∠4 = 5(x + 9) and m∠5=10x – 15.
Essential Question: What is the relationship between the angles in a triangle?

3. Agenda Do Now Good Things! Review: Angles in a transversal Notes
Vertical angles
Triangle Sum Theorem
Exterior Angle Theorem

4. Good Things!

5. Quick Review
1. Name a pair of alternate exterior angles 2. Name a pair of supplementary angles 3. If m<2 = 35o, what is m<5? What is the relationship between these angles? 4. If m<2 = 35o, what is m<1? What is the relationship between these angles?
angle 5 and angle 4
angle 1 and angle 2
35 degrees
145

6. Notes: Vertical Angles
Share the same vertex (opposite angles)
Congruent
Formed by 2 intersecting lines
If m<4 = 7x + 1 and m<1 = 3x + 9, what is the m<1?
What do these all add up to? Why?

7. Your Turn! Solve for x & find the value of angle “m”
Vertical angles are always congruent
Solve for x & find the value of angle “m”
Solve for x & find the value of angle “a” m

8. Angle Relationships What is the relationship between angles 3 & 7?
Do these relationships change?
The relationships do not change!

9. Triangle Sum Theorem
The measure of all the interior angles of a triangle will always be 180 degrees

10. Triangle Sum Theorem Practice
Solve for x.

11. Triangle Sum Theorem + Vertical Angles
First, list everything we know to be true.

12. Exterior Angle Theorem
<A = <C + <D
The exterior angle is always greater than each of the remote interior angles

13. Exterior Angle Theorem Practice
Find m<U
Solve for x

14. Practice Problems Worksheet is on my website geremia-math-2.weebly.com
You must write your answers and show your work – due by end of class
Solution station is at the front
Only ½ of the problem is shown
Find a partner that has the same favorite food as you

15. Exit Ticket
If m∠2 = 7x – 9 and m∠1 = 8x – 6, find m∠4

16. Launch