Sewanhaka High School
Math 8
Class:______________
Name:___________________________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
Date:________________________
H.W. #59: Ditto
DO-NOW #59: Answer the following questions:
1) Refer to the picture at the right.
If a || b, mL 4 = (2x + 59)° and mL 6 = (9x – 11)°,
find x and find the measure of each angle.
1 2
4 3
5 6
8 7
2) One angle is 20° less than its supplement. How would you find both angles?
3) Evaluate: (8 – 3) 2 +
83
12
=
Topic: Geometry
Main Idea: Alternate exterior angles
Aim:
RECALL
NOTES
Let m<B = 150°, find the measure of all the other angles in the given picture.
t
r || s
a) m<A = b) m<B = c) m<7 = d) m<C =
A B
r
e) m<E =
f) m<8 = g) m<H = h) m<G =
7 C
E 8
H G
s
Now focus on angles A, B, H, and G. What do
we call angles A and G? What do we call angles
B and H?
What do we notice about angles A and G?
do we notice about angles B and H?
What
Refer to the above picture of r || s. Find the value
of x if m<A = (3x – 30)° and m<G = 30°.
a
b
(3x + 40)°
Refer to the picture at the left. In the accompanying diagram, AB || CD .
EF intersects parallel lines AB and CD at G and H. If m<EGB is (3x +
40)° and m<CHF = (6x – 17)°, what is the value of x?
(6x – 17)°
Drill: Answer the following questions: Show work:
1) Refer to the picture at the left. In the accompanying diagram, AB || CD .
(3x – 10)°
EF intersects parallel lines AB and CD at G and H. If m<EGB is (3x - 10)°
and m<CHF = 80°, what is the value of x?
G
80°
2) Refer to the picture at the left. In the accompanying diagram, AB || CD .
EH intersects parallel lines AB and CD at G and F. If m<EFB is (2x + 10)°
and m<CGH = (x + 20)°, what is the value of x?
3) Refer to the picture at the left. In the accompanying diagram, AB || CD .
MN intersects parallel lines AB and CD at G and H. If m<AGM is (2x + 50)°
and m<NHD = (5x - 70)°, what is the value of x?
Summary: