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Honors Geometry
1.5 Describing Angle Pair Relationships
Objectives:
Name: ________________________________________
Date: _________________________ Block: ________
To use special angle relationships to find angle measurements
To answer, “How do you identify complementary and supplementary angles?”
Key Vocabulary
Complementary angles:
Supplementary angles
Adjacent Angles
Complementary Angles
Adjacent
Nonadjacent
Supplementary Angles
Adjacent
Nonadjacent
EXAMPLE 1
In the figure, name a pair of complementary angles and a pair of supplementary.
EXAMPLE 2
a) Given that <1 is a complement of <2 and m<1 = 68, find m<2.
b) Given that m<3 is twice its supplement <4, find m<4.
EXAMPLE 3
<LMN and <PQR are complementary angles. Find the measure of each angle if m<LMN =
(4x - 2) and m<PQR = (9x +1).
Angle Pairs
Linear pair:
Vertical angles:
EXAMPLE 4
Identify all the vertical angles and all the linear pairs in the diagram.
Two angles form a linear pair. One angle is 5 times the measure of the other. Draw a
diagram and solve for each angle.
Find x and y for each problem.
(10x + 4y)
45
(26x - 4y)
(3x + 3y)
(18x+6y)
(6x + 10y)
36
(-3x + 17y)
(32x + 2y)
(19x + 4y)