Download Using algebra with the interior angles on the same side of

Sewanhaka High School
Math 8
Per:______________
Name:___________________________________
Mrs. Lidowsky, Principal
Mr. Long, Teacher
Date:________________________
H.W. #61: Ditto
DO-NOW #61: Answer the following questions:
1) Refer to the picture at the right.
If a || b, mL 2 = (2x + 59)° and mL 6 = (9x – 11)°,
find x and find the measure of each angle.
1 2
4 3
5 6
8 7
a
b
2) The ratio of the measure of an angle to the measure of its complement is 2:3. Find the measure of the angle and
the measure of its complement.
3) Evaluate:
x2
2 z 1
when x = 7 and z = 3
Topic: Geometry
Main Idea: Using Algebra with interior angles on the same side of a transversal
Aim:
RECALL
NOTES
Let m<B = 110°, 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 7 and E, and angles C and 8.
What do we call angles 7 and E? What do we
call angles C and 8?
What do we notice about angles 7 and E? What
do we notice about angles C and 8?
Refer to the above picture of r || s. Find the value
of x if m<7 = (3x – 30)° and m<E = 30°.
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 +
44)° and m<EHC = (6x – 17)°, what is the value of x, m<AGH, and
m<EHC?
(3x + 44)°
(6x – 17)°
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<BGF is (5x - 10)°
and m<EHD = 80°, what is the value of x and m<BGF?
G (5x – 10)°
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<BFH is (2x + 10)°
and m<EGD = (x + 20)°, what is the value of x, m<BFH, and m<EGD?
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<BGN is (2x + 40)°
and m<MHD = (5x - 70)°, what is the value of x, m<BGN, and m<MHD?
Summary: