Sewanhaka High School Mrs. Lidowsky, Principal

Math 8 Mr. Long, Teacher

Class:______Date:______

Name:______

H.W. #58: Ditto

DO-NOW #58: Answer the following questions:

2) Solve and graph the solution set on a number line: 4x + 12 < 2x + 20

3) -5 + -7 =

Topic: Geometry

Main Idea: Alternate interior angles

Aim:

RECALL / NOTES
The measure of angle A is 60 degrees. Find the measures of the remaining 7 angles:
t r || s
A B r
7 C
E 8 s
H G
Now focus on angles 7, C, E, and 8. What do we call angles 7 and 8? What do we call angles C and E?
What do we notice about angles 7 and 8? What do we notice about angles C and E?
Refer to the above picture of r || s. Find the value of x if m<7 = (3x – 30)° and m<8 = 120°.
Refer to the picture at the left. In the accompanying diagram, || . intersects parallel lines and at G and H.
If m<AGH is (3x + 40)° and
m<GHD = (6x – 17)°, what is the value of x?
Drill: Answer the following questions: Show work:
1) Refer to the picture at the left. In the accompanying diagram, || . intersects parallel lines and at G and H. If m<AGH is (3x - 10)° and m<GHD = 80°, what is the value of x?

2) Refer to the picture at the left. In the accompanying diagram, || . intersects parallel lines and at G and F. If m<AFG is (2x + 10)° and m<FGD = (x + 20)°, what is the value of x?
3)  Refer to the picture at the left. In the accompanying diagram, || . intersects parallel lines and at G and H. If m<BGH is (2x + 50)° and m<CHG = (5x - 70)°, what is the value of x?
Summary: