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Geometry
Notes
Name_________________________
Measuring and Classifying Angles & Angle Pair Relationships
Angle names –
C
Vertex –
A
Sides –
B
Example 1
Name the three different angles in the diagram.
H
G
I
J
Classification of Angles
Type
Measure
Acute
Right
Obtuse
Straight
R
Angle Addition
S
P
T
Example 2
Given that m  CDE = 140°, find m  CDF and m  FDE.
F
C
(4x - 8)
(5x + 13)
D
E
Sketch
An ______________________________________ is a ray that divides an angle into two congruent
angles.
Example 3
In the diagram, SP bisects  RST, and m  RSP = 19°. Find m  RST.
R
S
P
T
Two angles are _____________________________ if the sum of their measures is 90°.
Two angles are _____________________________ if the sum of their measures is 180°.
Two angles are _____________________________ if they share a common vertex and side, but have
no common interior point.
Example 4
a. Given that  1 is a complement of  2 and m  1 = 64°, find m  2.
b. Given that  3 is a supplement of  4 and m  4 = 28°, find m  3.
Example 5
Given that  ABC and  CBD are supplementary, find the value of x and the measures of each angle.
C
(4x + 8)
A
B
(x + 2)
D
Two adjacent angles are a ______________________________ if they form a 180° angle, in other
words, a straight line. The angles are also supplementary.
Two angles are ________________________ if their sides form two linear pairs. Vertical angles are
always congruent.
Example 6
Two angles form a linear pair. The measure of one angle is 4 times the measure of the other. Find
the measure of each angle.