Transcript 4.6 Prove Angle Pair Relationships

4.6
Prove Angle Pair Relationships
Quiz 4.1-4.6: Jan. 21!
Vocabulary
• Two angles that share a common vertex
and side, but have no common interior
points are adjacent angles (next to each
other)
• Two adjacent angles are a linear pair if
their non-common sides are opposite rays.
Right Angle Congruence
Theorem
All right angles are congruent
Congruent Supplements
Theorem
If two angles are supplementary to
the same angle (or to congruent
angles), then they are congruent
Congruent Complements
Theorem
If two angles are complementary
to the same angle (or to congruent
angles), then they are congruent
Linear Pair Postulate
If two angles form a linear pair,
then they are supplementary
Vertical Angles
Congruence Theorem
Vertical angles are congruent
Example Set #1
•
Complete the statement given that
m AGF = 90o
1. m CGD = ____
2. If m BGF = 113o, then m DGE = ____
B
A
C
G
F
E
D
Example Set #2
•
If m BGD = 90o, and m CGD = 26o,
B
find
1. m 1
C
2 1
2. m 2
A
3
G
D
3. m 3
F
E
Example Set #3
• Solve for x in the diagram
A
(2x + 3)o
E
D
B
25o
C
Homework
P. 225 #1-17 ALL