example 1.name all angles with b as a vertex. 2. name the sides of angle 5. 3. write another name...
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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.
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Example
Classify each angle as right, obtuse, acute or straight.1. Angle TYV2. Angle WYT3. Angle TYU4. angleTYX
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Angle Relationship
Sec 1.5Sol: G.3 and G.11
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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
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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
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Vertical Angles Cont.
Non – Example:
Remember: To form a vertical pair you have to have two intersection lines.
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Linear Pair
Definition: Is a pair of adjacent angles who’s non-common sides are opposite rays.
Example:
Non-example:
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EX 1: Identify angle pairs
4 532
1
1. Identify the vertical pairs.
2. Identify all the linear pairs.
3. Identify the Adjacent angles.
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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
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Example 2Find the value of x and the measure of each
angle
(3x+6)°
(x-4)°
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Example 3-The measure of two complimentary angles are 16z-9 and 4z+3. Find the measures of the two angles.
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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°
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Example 4Find the value of x and the measure of
each angle
(3x-1)°(2x+6)°
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Perpendicular Lines
Definitions: Lines that form two right angles.
Symbolized By :
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Example 6
YWXZ
X
Z
W
Y
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Example 7:Find x and y so that are
Perpendicular ADandBE