Download Solutions to Base Angle Rules Worksheet

Solutions to Base Angle Rules Worksheet
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1
Parallel Lines
If two lines are in the same plane and do not intersect, then the lines are said to be parallel.
A
B
C
D
For example, AB is parallel to CD and we write it as AB CD.
2
A line that meets two or more parallel lines is called a transversal.
Line PQRS in the following diagram is a transversal.
P
Q
A
R
C
B
D
S
3
Alternate Angles are EQUAL
"Z" PATTERN
4
5
Corresponding Angles are EQUAL
"F" PATTERN
6
7
Interior Angles on the same side of the transversal are SUPPLEMENTARY
interior angles
"C" PATTERN
8
Example 1:
9
Example 2:
In this figure s||t, and m is the transversal.
Find the measure of <EBF.
m
E
B
A
(2x+5)o
(4x +25)o
G
s
F
t
C
D
H
10
Solution:
m
The angles are
supplementary.
E
A
B
(2x+5)o
(4x +25)o
G
s
F
t
C
D
H
Write the equation, (2x+5)+(4x+25) =180.
Combine like terms, 6x+30=180
subtract 30 from both sides,6x=150
divide by 6, x = 25
Find the measure of <EBF.
2(25) +5 = 55o
11
Example 3:
BG bisects <EBA, & m<8 = 42o,
& m<3 = 18o. Find the missing
measures of the angles.
tells you they are parallel
G
A
8 B
7 6
4
E
C
5
3
1
2
D
1.
2.
3. 18o
4.
5.
6.
7.
8. 42o
12
BG bisects <EBA, & m<8 = 42o, &
m<3 = 18o. Find the missing
measures of the angles.
Solution:
G
A
8 B
7 6
5
4
E
1
3
2
D
C
1.42o
2.120o
3. 18o
4. 42o
5. 42o
6. 96o
7. 42o
8. 42o
13
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Solutions to Base Angle Rules Worksheet.notebook