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1.5 Notes
Geometry
Angle Pair Relationships
Complementary Angles:
Two angles that add up to 90  .
Supplementary Angles:
Two angles that add up to 180 
4
1
3
2
5
7
6
Adjacent Angles: Two angles that share a common vertex and side, but have no common
interior points. (Angles that are next to each other.)
Example 1: Name a pair of
complementary angles
supplementary angles
adjacent angles
Example 2: Given that  1 is a complement of  2, and m  1 = 35o, find the m  2.
Example 3: Given that  1 is a complement of  2, and m  1= 73o, find the m  2.
Example 4: Given that  3 is a supplement of  4, and m  4 = 37o, find the m  3.
Example 5:  LMN and  PQR are
complementary angles. Find the measure
of the angles if m  LMN = (4x – 2)o
and m  PQR = (9x + 1)o.
8
Linear Pair:
Two adjacent angles that form a line.
Vertical Angles:
Angles that are across from each other
(formed by two lines)
3
4
6
1
5
2
**These angles are also supplementary.
Example 6: Identify all of the
linear pairs
vertical angles
Example 7: Two angles form a linear pair. The measure of one angle is five times the measure
of the other. Find the measure of each angle.
Example 8: Two angles form a linear pair. The measure of one angle is three times the
measure of the other. Find the measure of each angle.
Example 9: Find the values of x and y.
m  WYZ.
4x 3x 159
3 y 
Example 10: Find m  XYW and
W
2x 14
X
4x  20
Y
Z