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HW- pg. 32-33 (14, 16, 18, 19, 22, 23, 26-32 even,
33-38, 41, 42, 44 and 45)
Ch. 1 Test MONDAY 9-22
www.westex.org HS, Teacher Website
9-12-14
Warm up—Geometry H
What is the difference between complementary
and supplementary angles?
GOAL:
I will be able to:
1. identify adjacent, vertical, complementary and
supplementary angles.
2. find measures of pairs of angles.
HW- pg. 32-33 (14, 16, 18, 19, 22, 23, 26-32 even, 33-38, 41, 42, 44 and 45)
Ch. 1 Test MONDAY 9-22
www.westex.org
HS, Teacher Website
Name ______________________
Geometry H
Date _______
1.4 Pairs of Angles
GOAL:
I will be able to:
1. identify adjacent, vertical, complementary and supplementary angles.
2. find measures of pairs of angles.
A __________________ is a special pair of adjacent angles whose sum is 180o.
EXAMPLE 1: Identifying Angle Pairs
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
YOU TRY:
Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent.
a) 5 and 6
c) 7 and 8
b) 7 and SPU
You can find the complement of an angle that measures x° by writing the algebraic expression
__________.
You can find the supplement of an angle that measures x° by writing the algebraic expression
____________.
EXAMPLE 2: Finding the Measures of Complements and Supplements
Find the measure of each of the following.
a) complement of F
b) supplement of G
YOU TRY:
Find the measure of each of the following.
a) complement of E
b) supplement of F
Example 3: Using Complements and Supplements to Solve Problems
An angle is 10° more than 3 times the measure of its complement. Find the measure of the
complement.
YOU TRY:
An angle’s measure is 12° more than
the angle.
the measure of its supplement. Find the measure of
Example 4: Problem-Solving Application
Light passing through a fiber optic cable reflects off the
walls of the cable in such a way that 1 ≅ 2, 1 and 3
are complementary, and 2 and 4 are complementary.
If m1 = 47°, find m2, m3, and m4.
YOU TRY:
Suppose m3 = 27.6°. Find m1, m2, and m4.
Another angle pair relationship exists between two angles
whose sides form two pairs of opposite rays.
__________________ are two nonadjacent angles formed by
two intersecting lines. __________ are vertical angles, as
are __________.
Example 5: Identifying Vertical Angles
Name both pairs of vertical angles.
YOU TRY:
Name both pairs of vertical angles.
EXIT TICKET
Name _______________________
What is the most specific name for the following angles, adjacent or linear pair? How did you
come to this conclusion?
EXIT TICKET
Name _______________________
What is the most specific name for the following angles, adjacent or linear pair? How did you
come to this conclusion?
EXIT TICKET
Name _______________________
What is the most specific name for the following angles, adjacent or linear pair? How did you
come to this conclusion?
EXIT TICKET
Name _______________________
What is the most specific name for the following angles, adjacent or linear pair? How did you
come to this conclusion?