Math 8 Lesson Plan 58 Alternate Interior angles class outline for students.doc

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Sewanhaka High School
Math 8
Class:______________
Name:___________________________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
Date:________________________
H.W. #58: Ditto
DO-NOW #58: Answer the following questions:
1) Refer to the picture at the right.
If a || b, mL 6 = 20°, find all other angles.
1 2
4 3
5 6
8 7
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) 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 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?
do we notice about angles C and E?
What
Refer to the above picture of r || s. Find the value
of x if m<7 = (3x – 30)° and m<8 = 120°.
a
b
HW #58:
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<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, AB || CD .
EF intersects parallel lines AB and CD 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, AB || CD .
EH intersects parallel lines AB and CD 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, AB ||
CD . MN intersects parallel lines AB and CD at G and H. If
m<BGH is (2x + 50)° and m<CHG = (5x - 70)°, what is the value of
x?
Summary:
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