Download 1-4 Notes

Geometry
Chapter 1
Section 4: Pairs of Angles
Objectives
 Identify adjacent, vertical, complementary, and supplementary angles
 Find the measures of angle pairs
Vocabulary
1.
_____________________angles are two angles in the same plane with a common ___________, but no
common _______________ points.
Example:
2.
A __________________ __________________ of angles is a pair of adjacent angles whose noncommon
sides are _________________________ rays.
Example:
EXAMPLE 1: Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.
A. ∠ AEB and ∠BED
B. ∠ AEB and ∠BEC
C. ∠DEC and ∠ AEB
3.
_________________________ angles are two angles whose measures have a sum of _______________.
Example:
4.
_______________________ angles are two angles whose measures have a sum of ___________________.
Example:
EXAMPLE 2: Find the measure of each of the following.
A. complement of ∠F
B. supplement of ∠G
EXAMPLE 3:
A. An angle is 10 degrees more than 3 times the measure of its complement. Find the measure of the
complement.
B. Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the
measure of the other angle.
EXAMPLE 4:
Light passing through a fiber-optic cable reflects off the walls of the cable in such a way that 1  2 ,
3 are complementary, and 2 and 4 are complementary. If m 1  47 , find m 2 , m 3 ,and m 4 .
5.
1 and
Another angle pair relationship exists between two angles whose sides form two pairs of opposite
rays. __________________________angles are two ______________________________ angles formed by
two intersecting lines.
Example:
EXAMPLE 5:
Name the pairs of vertical angles.