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Geometry Notes
2.5—Angle Pair Relationships
Objective: Identify and apply vertical angles, linear pairs, complementary angles, and supplementary angles.
Assignment: Day 1—pg. 47 # 8-36evens, 46-52evens, 66-74evens
Day 2—WS (1.6 Practices B & C)
Two angles are vertical angles if their
sides form two pairs of opposite rays.
Two adjacent angles are a linear pair
if their noncommon sides are opposite rays.
 1 and  3 are vertical angles.
 2 and  4 are vertical angles.
1
4
2
3
5
6
 5 and  6 are a linear pair.
Two angles are complementary angles if
the sum of their measures is 90°.
Two angles are supplementary angles if
the sum of their measure is 180°.
Each angle is the complement of the other.
Each angle is the supplement of the other.
Complementary angles and supplementary angles can be adjacent or nonadjacent.
Examples:
Use the figure to answer the questions.
Examples:
Use the figure to complete the statements.
3. If m  1 = 105°, the m  3 =
.
4. If m  1 = 105°, the m  4 =
.
5. If m  2 = 67°, the m  3 =
.
6. If m  4 = 112°, the m  2 =
.
7. If m  3 = 50°, the m  4 =
.
1
4
2
3
Solve for the variables.
10.  A and  B are complementary. Find m  A and m  B.
m  A = 8x – 7
m  B = x – 11
11.  A and  B are supplementary. Find m  A and m  B.
m  A = 12x + 1
m  B = x + 10