Vocabulary
These angles have a sum of 180 degrees.
Supplementary angles
<1 and <2 are
Adjacent angles
Complementary angles have a sum of....
90 degrees
If interior angles <c = 122 degrees <b = 25 degrees, thne the m< a =
122+25= 147, then 180-147 = 33 degrees
These angles are formed by intersecting lines and share a common vertex but no common sides.
Vertical Angles
<2 and <7 are
Alternate exterior angles
If < 4 = 42 degrees, then <1 =
42 degrees
If triangle ABC has two interior angles as follows:
< a = 40 degrees, < b = 85, then the m<c =
55 degrees
These congruent angles are both in between parallel lines but on opposite sides of the transversal
alternate interior angles
<3 and < 7 are ...
Corresponding angles
If < 6 = 61 degrees, then <2 =
61 degrees
If a triangle has an exterior <d = 149 degrees, then interior < c =
180 -149 = 31 degrees
These congruent angles hold the same position (ex.top left) on the top parallel and bottom parallel line and both are on the same side of the transversal.
Corresponding angles
< 5 and < 6 are
Supplementary
If < 8 = 12 degrees, then <2 =
180 - 12 = 168 degrees
An exterior angle of a triangle is equal to the sum of
the remote interior angles
These angles share a common vertex and a common side.
Adjacent Angles
Name a pair of alternate interior angles.
<3 and <6 OR <4 and <5.
If < 5 = 142 degrees, then find the sum of < 2 and <3.
76 degrees
If interior angle <b = 65 degrees and exterior <d=137 degrees, then m<a =
72 degrees