angle pairs. vertical angles two angles formed by intersecting lines and have no sides in common....
TRANSCRIPT
![Page 1: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/1.jpg)
Angle Pairs
![Page 2: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/2.jpg)
Vertical Angles
• Two angles formed by intersecting lines and have no sides in common.
• Are congruent.
![Page 3: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/3.jpg)
Vertical Angles
![Page 4: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/4.jpg)
Supplementary Angles
• Two angles sharing one side that add up to exactly 180°
![Page 5: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/5.jpg)
Supplementary Angles
![Page 6: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/6.jpg)
Complementary Angles
• Two angles, sharing one side that add up to exactly 90°
![Page 7: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/7.jpg)
Complementary Angles
![Page 8: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/8.jpg)
Adjacent Angles
• Adjacent angles share a common vertex and one common side.
![Page 9: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/9.jpg)
Adjacent Angles
![Page 10: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/10.jpg)
Adjacent Angles
![Page 11: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/11.jpg)
Supplementary vs. ComplementaryHow do I remember?
• The way I remember is this:
• C comes before S in the alphabet.
• 90 comes before 180 when I count.
• Complementary is 90, Supplementary is 180.
![Page 12: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/12.jpg)
Guess Who?
• I am an angle.
![Page 13: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/13.jpg)
Guess Who?
• I am an angle.
• I have 180°
![Page 15: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/15.jpg)
Guess Who?
• I am an angle.
• I have 180°
• I look like this:
Supplementary Complementary
![Page 16: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/16.jpg)
Guess Who?
• I am two adjacent angles.
![Page 17: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/17.jpg)
Guess Who?
• I am two adjacent angles.
• I look like an “L” with a line in the middle.
![Page 18: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/18.jpg)
Guess Who?
• I am two adjacent angles.
• I look like an “L” with a line in the middle.
• I add up to 90°
• I look like this:
![Page 19: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/19.jpg)
Guess Who?
• I am two adjacent angles.
• I look like an “L” with a line in the middle.
• I add up to 90°
• I look like this:
Complementary Supplementary
![Page 20: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/20.jpg)
Guess Who?
Complementary Supplementary
![Page 21: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/21.jpg)
Guess Who?
Complementary Supplementary
![Page 22: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/22.jpg)
Review
• Complementary angles are…….
![Page 23: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/23.jpg)
Review
• Complementary angles are…….
![Page 24: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/24.jpg)
Review
• Supplementary Angles are…..
![Page 25: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/25.jpg)
Supplementary Angles
![Page 26: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/26.jpg)
Vertical Angles are…….
![Page 27: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/27.jpg)
Vertical Angles
![Page 28: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/28.jpg)
Adjacent Angles are…
![Page 29: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/29.jpg)
Adjacent Angles
![Page 30: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/30.jpg)
Find the missing angle
55
x
I know that these angles are complementary.
They must add up to 90°
So……
90 – 55 = 35
The missing angle is 35
![Page 31: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/31.jpg)
You try.
20x
Are they supplementary or complementary?
Find the missing side.
![Page 32: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/32.jpg)
You try.
20x
Are they supplementary or complementary?
complementary
Find the missing side.
90 – 20 = 70
The missing angle
Is 70
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One More
50
x
![Page 34: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/34.jpg)
Find the missing angle
120x
I know these are supplementary angles.
Supplementary angles add up to 180.
The given angle is 120. So…..
180 – 120 = 60
The missing angle is 60
![Page 35: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/35.jpg)
Find the missing angle
130x
What kind of angles?
What’s the missing angle?
![Page 36: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/36.jpg)
Find the missing angle
130x
What kind of angles?
Supplementary
What’s the missing angle?
Adds up to 180, so…..
180 – 130 = 50
![Page 37: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/37.jpg)
Find the missing angle
x30
Do this one on your own.
![Page 38: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/38.jpg)
Right
![Page 39: Angle Pairs. Vertical Angles Two angles formed by intersecting lines and have no sides in common. Are congruent](https://reader036.vdocuments.us/reader036/viewer/2022062304/56649dce5503460f94ac261f/html5/thumbnails/39.jpg)
Wrong