Download 1.5 Guided Notes – Exploring Angle Pairs

Dynamics of Geometry
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1.5 Guided Notes – Exploring Angle Pairs
Types of Angle Pairs
Angle
Relationship
Adjacent Angles
Vertical Angles
Complementary
Angles
Supplementary
Angles
Linear Pair
Definition
Picture
Special Quality
Examples
Name the relationship between angles a and b below.
1.
2.
3.
4.
5.
6.
Explain why !BFD and !AFE are not vertical
angles.
You Try!
Use the diagram below to name the pairs of angles that fit the following relationships. A pair of angles may be
used for more than one thing.
1.
2.
3.
4.
5.
Adjacent Angles
Supplementary Angles
Complementary Angles
Linear Pairs
Vertical Angles
In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent
angles.
1.
Adjacent Angles
2.
Supplementary Angles
3.
Complementary Angles
Using the Special Relationships to Solve for Missing Angles
Examples
Name the relationship and solve for x.
1.
2.
3.
4.
5. Name the relationship. Find the value of x and y.
6.
7. Angle A and B are supplementary. Find the value
of x. Then, find the measure of each angle
estimated to the nearest tenth.
!A = x 2 + 5x + 80
x: __________________________
m!A : __________________________
m!B :__________________________
!B = 2x 2 + 12x + 10
You Try!
1.
The two angles are supplementary, solve for x:
2.
3.
4. ∠ A and ∠ B are complementary. Find m∠ A and m∠ B.
5. Find the value of x and y. 6. Find the value of x and y. 7. Angle A and B are complementary. Find the
value of x. Then, find the measure of each angle
estimated to the nearest tenth.
!A = 3x 2 − 20x + 8
!B = 4x 2 − 14x + 77
x: __________________________
m!A : __________________________
m!B :__________________________