Example 1.Name all angles with B as a vertex. 2. Name the sides of angle 5.
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Example
1.Name all angles with B as a vertex.
2. Name the sides of angle 5.
3. Write another name for angle 6.
Example
Classify each angle as right, obtuse, acute or straight.1. Angle TYV2. Angle WYT3. Angle TYU4. angleTYX
Angle Relationship
Sec 1.5Sol: G.3 and G.11
Adjacent Angles
Definition: 2 angles that lie on the same plane, have a common vertex and a common side, but have no common interior points.
Example: Non – Example:
BA
D
CA
C
D
B
CBDABCand BCDABCand
No Common Vertex
Lesson 1-5: Pairs of Angles
Vertical Angles
2 non-adjacent angles formed by two intersecting lines. A pair of angles whose sides form opposite rays.
Definition:
4
3
2
1A
Q
D
B
C
Examples:
2 and 4
1 and 3
Vertical Angles Cont.
Non – Example:
Remember: To form a vertical pair you have to have two intersection lines.
Linear Pair
Definition: Is a pair of adjacent angles who’s non-common sides are opposite rays.
Example:
Non-example:
EX 1: Identify angle pairs
4 532
1
1. Identify the vertical pairs.
2. Identify all the linear pairs.
3. Identify the Adjacent angles.
Lesson 1-5: Pairs of Angles 9
Complementary Angles
A pair of angles whose sum is 90˚Definition:
Examples:
21
Q
AB
C 1
2
Q
R
AB
F
GEven when two angles are non adjacent they can beAdded together to form a 90 degree angles
m1 = 40°m2 = 50°
9021 mm
Example 2Find the value of x and the measure of each
angle
(3x+6)°
(x-4)°
Example 3-The measure of two complimentary angles are 16z-9 and 4z+3. Find the measures of the two angles.
Lesson 1-5: Pairs of Angles 12
Supplementary Angles
A pair of angles whose sum is 180˚Definition:
Examples:
Adjacent supplementary angles are also called “Linear Pair.”
Non-Adjacent Angles
2 1
A Q
B
C
1
2
A QR
BF
Gm2 = 140°
m1 = 40°
Example 4Find the value of x and the measure of
each angle
(3x-1)°(2x+6)°
Perpendicular Lines
Definitions: Lines that form two right angles.
Symbolized By :
Example 6
YWXZ
X
Z
W
Y
Example 7:Find x and y so that are
Perpendicular ADandBE
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