Angles and Parallel Lines SACHS
When a transversal crosses a pair of parallel lines        it creates two sets of identical angles.
Complete the 4 missing angles below.
100ο
80ο
​ο
ο
100ο
80ο
ο
​ο
The matching angles are called corresponding angles.
α
Hence, Corresponding Angles are equal.
α
There are
​α
​α
pairs of Corresponding Angles.
​α
​α
​α
​α
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x =
ο
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p =
​ο
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k =
​ο
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d =
q =
​ο
​ο
α
There are
α
The equal angles between the parallel lines           are called alternate angles.
Hence, Alternate Angles are equal.
pairs of Alternate Angles.
​α
​α
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m =
​ο
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q =
​ο
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b =
​ο
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m =
d =
​ο
​ο
There are
α
θ
Co-interior Angles are supplementary.
The angles together between 
the parallel lines add to 180ο.
pairs of Co-interior Angles.
θ
​α
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m =
​ο
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p =
​ο
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x =
​ο
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b =
a =
​ο
​ο
Angle g is corresponding to angle
Angle c is alternate to angle
Angle e is co-interior to angle
h
e
d
g
a
f
c
b
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Angle p is equal to:
126ο alternate angles
126ο corresponding angles
54ο co-interior angles
Select the correctangle and reasonin relation to thegiven angle.
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Angle q is equal to:
126ο alternate angles
126ο corresponding angles
54ο co-interior angles
Select the correctangle and reasonin relation to thegiven angle.
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Angle r is equal to:
126ο alternate angles
126ο corresponding angles
54ο co-interior angles
Select the correctangle and reasonin relation to thegiven angle.
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