Download 1-5 Exploring Pair Angles

1-5 Exploring Pair Angles
Types of Angle Pairs
Definition
Example
_______________ angles
are two coplanar angles
with a common side, a
common vertex, and no
common interior points.
_______________ angles
are two angles whose
sides are opposite rays.
_______________ angles
are two angles whose
measures sum to 90.
_______________ angles
are two angles whose
measures sum to 180.
Identifying Pair Angles
Problem 1
Is the statement true?
a) BFD and CFD are adjacent angles.
b) AFD and EFD are vertical angles.
c) AFE and BFC are complementary.
Making Conclusions from a Diagram
Problem 2
What can you conclude from the information in the diagram?
Linear Pair
A _______________ __________ is a pair of adjacent angles whose non common sides
are opposite rays. The angles of a linear pair form a straight angle.
Linear Pair Postulate (1-9)
If two angles form a linear pair, then they are ____________________.
Finding the Missing Angle Measures
Problem 3
a) What are the measures of KPL and JPL ?
b) ADB and BDC form a linear pair. mADB  3x 14 and mBDC  5x  2 . What are mADB and
mBDC ?
Angle Bisector
An ______________ ______________ is a ray that divides an angle into two congruent
angles.
Using an Angle Bisector to Find Angle Measures
Problem 4
a) AC bisects DAB . If mDAC  58,
what is mDAB ?
b) KM bisects JKL . If mJKL  72,
what is mJKM ?