8. Supplementary angles add up to 180º.
40º
120º 60º
140º
Adjacent and Supplementary Supplementary Angles
Angles but not Adjacent
9. Vertical Angles
are opposite one another.
Vertical angles are congruent.
100°
100°
10. Vertical Angles
are opposite one another.
Vertical angles are congruent.
80°
80°
11. Lines l and m are parallel.
l||m
Note the 4
angles that
measure 120°.
120°
120°
l
120°
120° m
Line n is a transversal.
n
12. Lines l and m are parallel.
l||m
Note the 4
angles that
measure 60°.
60°
60°
l
60°
60° m
Line n is a transversal.
n
13. Lines l and m are parallel.
l||m
There are many There are 4 pairs of
pairs of angles that angles that are
are supplementary. vertical.
60°
120°
120°
60°
l
60° 120°
120° 60° m
Line n is a transversal.
n
14. If two lines are intersected by a transversal
and any of the angle pairs shown below are
congruent, then the lines are parallel. This
fact is used in the construction of parallel
lines.
32. 9) Lines l and m are parallel.
l||m
Find the missing angles.
42°
a°
c°
b°
l
d° e°
g° f° m
33. 9) Lines l and m are parallel.
l||m
Find the missing angles.
42°
138°
138°
42°
l
42° 138°
138° 42° m
34. 10) Lines l and m are parallel.
l||m
Find the missing angles.
81°
a°
c°
b°
l
d° e°
g° f° m
35. 10) Lines l and m are parallel.
l||m
Find the missing angles.
81°
99°
99°
81°
l
81° 99°
99° 81° m
36. 11) Find the missing angles.
70 ° 70 °
b°
Hint: The 3 angles in a
triangle sum to 180°.
d° 65 °
37. 11) Find the missing angles.
70 ° 70 °
40°
Hint: The 3 angles in a
triangle sum to 180°.
75 ° 65 °
38. 12) Find the missing angles.
45 ° 50 °
b°
Hint: The 3 angles in a
triangle sum to 180°.
d° 75 °
39. 12) Find the missing angles.
45 ° 50 °
85°
Hint: The 3 angles in a
triangle sum to 180°.
20° 75 °
40. In the figure a || b.
13. Name the angles congruent to ∠3.
∠1, ∠5, ∠7
14. Name all the angles supplementary to ∠6.
∠1, ∠3, ∠5, ∠7
15. If m∠1 = 105° what is m∠3?
105°
16. If m∠5 = 120° what is m∠2?
60°