Plane vs. Solid Geometry Plane GeometrySolid Geometry.
-
Upload
linda-jackson -
Category
Documents
-
view
280 -
download
3
Transcript of Plane vs. Solid Geometry Plane GeometrySolid Geometry.
![Page 1: Plane vs. Solid Geometry Plane GeometrySolid Geometry.](https://reader036.fdocuments.in/reader036/viewer/2022082317/5697bfb61a28abf838c9e39d/html5/thumbnails/1.jpg)
Today we will look at some angle relationships!
•Vertical Angles
•Adjacent Angles
•Complementary Angles
•Supplementary Angles
It takes two to tango!
![Page 2: Plane vs. Solid Geometry Plane GeometrySolid Geometry.](https://reader036.fdocuments.in/reader036/viewer/2022082317/5697bfb61a28abf838c9e39d/html5/thumbnails/2.jpg)
Special Angle Pairs:
1) Vertical Angles – the angles
formed on opposite sides of
intersecting lines.
12
43
<2 and <4 are vertical angles so we know
m<2 = m<4
Vertical angles are always congruent
![Page 3: Plane vs. Solid Geometry Plane GeometrySolid Geometry.](https://reader036.fdocuments.in/reader036/viewer/2022082317/5697bfb61a28abf838c9e39d/html5/thumbnails/3.jpg)
2) Adjacent Angles – are angles that share a common vertex and a common side.
21
1
2
12
![Page 4: Plane vs. Solid Geometry Plane GeometrySolid Geometry.](https://reader036.fdocuments.in/reader036/viewer/2022082317/5697bfb61a28abf838c9e39d/html5/thumbnails/4.jpg)
Complementary Angles – two angles whose sum is 90 degrees
Supplementary Angles – two angles whose sum is 180 degrees
![Page 5: Plane vs. Solid Geometry Plane GeometrySolid Geometry.](https://reader036.fdocuments.in/reader036/viewer/2022082317/5697bfb61a28abf838c9e39d/html5/thumbnails/5.jpg)
Complementary Angles
60
X
90 - 60 = X
30 = X
![Page 6: Plane vs. Solid Geometry Plane GeometrySolid Geometry.](https://reader036.fdocuments.in/reader036/viewer/2022082317/5697bfb61a28abf838c9e39d/html5/thumbnails/6.jpg)
What is the complement of a 72 degree angle?
What is the complement of a 35 degree angle?
18 degrees
55 degrees
![Page 7: Plane vs. Solid Geometry Plane GeometrySolid Geometry.](https://reader036.fdocuments.in/reader036/viewer/2022082317/5697bfb61a28abf838c9e39d/html5/thumbnails/7.jpg)
Supplementary Angles
38 X
X = 180-38 X = 142 degrees
360°
180°