Download Lesson 1.5 CP Special Angle Pairs.notebook

Lesson 1.5 CP Special Angle Pairs.notebook
September 14, 2015
Adjacent Angles ­ two angles that have a common vertex and common ray between them.
ABC and CBD are adjacent.
A
C
B
D
They share vertex B and BC.
Adjacent
Nonadjacent
Nonadjacent
one is inside other
they overlap
Nonadjacent
do not share vertex
3x + 1 + 2x ­ 6 = 145
5x ­ 5 = 145
5x = 150
x = 30
Lesson 1.5 CP Special Angle Pairs.notebook
September 14, 2015
Complementary Angles ­ two angles with the sum of their measures equal to 90o.
A
40o
D
C
50o
B
Complementary angles CAN be adjacent, but do not HAVE to be.
Lesson 1.5 CP Special Angle Pairs.notebook
September 14, 2015
Supplementary Angles ­ two angles with the sum of their measures equal to 180o.
D
C
B
A
Supplementary angles CAN be adjacent, but do not HAVE to be.
Lesson 1.5 CP Special Angle Pairs.notebook
September 14, 2015
Linear Pairs ­ Two adjacent angles whose nonadjacent sides are opposite rays which form a line.
B
A
X
C
AXB and BXC are a linear pair.
They share vertex X and XB and
their nonadjacent sides XA and XC are opposite rays.
Linear Pair Postulate
Linear Pairs are supplementary.
are supplementary.
Lesson 1.5 CP Special Angle Pairs.notebook
September 14, 2015
Vertical Angles: Two nonadjacent angles formed by two intersecting lines.
Adjacent Angles:
2
1
5
3
Linear Pairs:
4
Vertical Angles:
Vertical Angles Theorem: Vertical angles are congruent.
110o
70o
70o
110o