Can you help me with problems 1 AND 2 1.5 Describe Angle PairRelationshipsBeforeYou used angle postulates to measure and classify angles.NowYou will use special angle relationships to find angle measures.Why?So you can find measures in a building, as in Ex. 53.Key Vocabulary• complementaryangles• supplementaryangles• adjacent angles• linear pair• vertical anglesTwo angles are complementary angles if the sum of their measures is 90°.Each angle is the complement of the other. Two angles are supplementaryangles if the sum of their measures is 180°. Each angle is the supplement ofthe other.Complementary angles and supplementary angles can be adjacent anglesor nonadjacent angles. Adjacent angles are two angles that share a commonvertex and side, but have no common interior points.Complementary anglesSupplementary anglesсоммонCORECC.9-12.G.CO.1 Know precisedefinitions of angle, circle,perpendicular line, parallel line,and line segment, based onthe undefined notions of point,line, distance along a line, anddistance around a circular arc.AdjacentNonadjacentAdjacentNonadjacentEXAMPLE 1Identify complements and supplementsIn the figure, name a pair of complementaryangles, a pair of supplementary angles, anda pair of adjacent angles.AVOID ERRORS****.........................*In Example 1, Z DAC andZDAB share a commonvertex. But they sharecommon interior points,so they are not adjacentI 12232SolutionBecause 32° + 58° = 90°, Z BAC and ZRST are complementary angles.Because 122° + 58° = 180°, Z CAD and ZRST are supplementary angles.angles.Because ZBACand ZCAD share a common vertex and side, they are adjacent.GUIDED PRACTICEfor Example 11. In the figure, name a pair of complementaryangles, a pair of supplementarypair of adjacent angles.Ggles, and a41/131°492. Are ZKGH and ZLKG adjacent angles? AreZFGK and ZFGH adjacent angles? Explain.1.5 Describe Angle Pair Relationships35

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EXAMPLE 1 Identify complements and supplements In the figure, name a pair of complementary and angles, a pair of supplementary angles, and a pair of adjacent angles. non 122 58

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

Topic Video

Question

Can you help me with problems 1 AND 2

1.5 Describe Angle Pair
Relationships
Before
You used angle postulates to measure and classify angles.
Now
You will use special angle relationships to find angle measures.
Why?
So you can find measures in a building, as in Ex. 53.
Key Vocabulary
• complementary
angles
• supplementary
angles
• adjacent angles
• linear pair
• vertical angles
Two angles are complementary angles if the sum of their measures is 90°.
Each angle is the complement of the other. Two angles are supplementary
angles if the sum of their measures is 180°. Each angle is the supplement of
the other.
Complementary angles and supplementary angles can be adjacent angles
or nonadjacent angles. Adjacent angles are two angles that share a common
vertex and side, but have no common interior points.
Complementary angles
Supplementary angles
соммон
CORE
CC.9-12.G.CO.1 Know precise
definitions of angle, circle,
perpendicular line, parallel line,
and line segment, based on
the undefined notions of point,
line, distance along a line, and
distance around a circular arc.
Adjacent
Nonadjacent
Adjacent
Nonadjacent
EXAMPLE 1
Identify complements and supplements
In the figure, name a pair of complementary
angles, a pair of supplementary angles, and
a pair of adjacent angles.
AVOID ERRORS
****.........................*
In Example 1, Z DAC and
ZDAB share a common
vertex. But they share
common interior points,
so they are not adjacent
I 122
32
Solution
Because 32° + 58° = 90°, Z BAC and ZRST are complementary angles.
Because 122° + 58° = 180°, Z CAD and ZRST are supplementary angles.
angles.
Because ZBACand ZCAD share a common vertex and side, they are adjacent.
GUIDED PRACTICE
for Example 1
1. In the figure, name a pair of complementary
angles, a pair of supplementary
pair of adjacent angles.
G
gles, and a
41/131°
49
2. Are ZKGH and ZLKG adjacent angles? Are
ZFGK and ZFGH adjacent angles? Explain.
1.5 Describe Angle Pair Relationships
35

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