angle relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:
TRANSCRIPT
![Page 1: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/1.jpg)
Angle Relationships
![Page 2: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/2.jpg)
90 and 180 degree angles……
• 90 degree angle:• 180 degree angle:
![Page 3: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/3.jpg)
Types of angles……• Acute – angles less than 90 degrees.• Right – angles with exactly 90
degrees.
![Page 4: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/4.jpg)
• Obtuse – angles greater than 90 degrees but less than 180 degrees.
• Straight – angles that are 180 degrees and form a line.
![Page 5: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/5.jpg)
Identify these angles…..• A.
• B.
• C.
• D.
• A. Obtuse
• B. Right
• C. Acute
• D. Straight
![Page 6: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/6.jpg)
Adjacent Angles……• Two angles that share a common side
are adjacent angles.
• Example:
![Page 7: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/7.jpg)
Non-adjacent Angles……• Angles that do not share a common
side are non-adjacent angles.
• Example:
![Page 8: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/8.jpg)
Supplementary• Two angles whose sum is 180.
![Page 9: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/9.jpg)
Complementary• Two angles whose sum is 90.
![Page 10: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/10.jpg)
Perpendicular• If 2 segments are perpendicular to
each other, then they form a 90 degree angle.
• The symbol for perpendicular is an upside down T.
• Example:
.90
2,toupaddmust
anglestheTherefore
kj
![Page 11: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/11.jpg)
Let’s finish this problem...Remember that
.angleeach
ofvaluetheandxFind
kj
30
903
902
x
x
xx
30
603022 x
60
![Page 12: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/12.jpg)
Find x, given that gf
11
555
90355
9025105
x
x
x
x
![Page 13: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/13.jpg)
Vertical Angles……• Vertical Angles are two non-adjacent
angles formed by intersecting lines.
• Vertical Angles are congruent. (Equal)
43,
.43
21,
.21
mmSo
anglesverticalareand
mmSo
anglesverticalareand
![Page 14: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/14.jpg)
Example……• Find the value of x.
63
685
x
x
![Page 15: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/15.jpg)
Example…..• Find the PQRm
12
242
24810
x
x
xx
120)12(1010 xPQRm
![Page 16: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/16.jpg)
Linear Pairs
Linear Pair – a pair of adjacent angles whose non-common sides form opposite rays.
1 2
∠1 and ∠2 form a linear pair.
![Page 17: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/17.jpg)
A linear pair is supplementary – the angle measuresadd up to 180 degrees.
Find x:
30
1806
1805
x
x
xx
![Page 18: Angle Relationships. 90 and 180 degree angles…… 90 degree angle:180 degree angle:](https://reader036.vdocuments.site/reader036/viewer/2022082401/56649d995503460f94a841ca/html5/thumbnails/18.jpg)
Homework• Angle Relationships Worksheet