Angles
description
Transcript of Angles
![Page 1: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/1.jpg)
Angles
![Page 2: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/2.jpg)
Angles A shape formed by two rays sharing a
common endpoint; contains two rays and a vertex
ray
ray
vertexray—has one endpoint and goes infinitely in one direction
vertex—point common to two rays of a triangle or two sides of a polygon
![Page 3: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/3.jpg)
Naming AnglesAn angle is named by three letters.
The vertex must be in center.
A
B C
1
![Page 4: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/4.jpg)
Types of Angles Acute angle: An angle whose
measure is greater than zero degrees and less than 90 degrees
Which angles are not acute?1
23
4
5
![Page 5: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/5.jpg)
Types of Angles Right angle: Angle that measures
90 degrees
Which angle is a right angle?1
23
4
5
![Page 6: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/6.jpg)
Types of Angles Obtuse angle: One angle measures
greater than 90 degrees and less than 180 degrees
Which angle is an obtuse angle?1
23
4
5
![Page 7: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/7.jpg)
Straight Angle Straight angle: A line that goes
infinitely in both directions and measures 180 degrees
Which is not a straight angle?
1 2
This is a ray. It only goes in one direction.
![Page 8: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/8.jpg)
Adjacent angles are “side by side” and share a common ray.
45º15º
![Page 9: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/9.jpg)
These are examples of adjacent angles.
55º
35º
50º130º
80º 45º
85º20º
![Page 10: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/10.jpg)
These angles are NOT adjacent.
45º55º
50º100º
35º
35º
![Page 11: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/11.jpg)
When 2 lines intersect, they make vertical angles.
75º
75º
105º105º
![Page 12: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/12.jpg)
Vertical angles are opposite one another.
75º
75º
105º105º
![Page 13: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/13.jpg)
Vertical angles are opposite one another.
75º
75º
105º105º
![Page 14: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/14.jpg)
Vertical angles are congruent (equal).
30º150º
150º30º
![Page 15: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/15.jpg)
Supplementary angles add up to 180º.
60º120º
40º
140º
Adjacent and Supplementary Angles
Supplementary Anglesbut not Adjacent
![Page 16: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/16.jpg)
Complementary angles add up to 90º.
60º
30º40º
50º
Adjacent and Complementary Angles
Complementary Anglesbut not Adjacent
![Page 17: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/17.jpg)
Practice Time!
![Page 18: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/18.jpg)
Directions: Identify each pair of angles as vertical, supplementary, complementary, or none of the above.
![Page 19: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/19.jpg)
#1
60º120º
![Page 20: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/20.jpg)
#1
60º120º
Supplementary Angles
![Page 21: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/21.jpg)
#2
75º75º
![Page 22: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/22.jpg)
#2
75º75º
Vertical Angles
![Page 23: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/23.jpg)
#3
65º
25º
![Page 24: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/24.jpg)
#3
65º
25º
Complementary Angles
![Page 25: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/25.jpg)
Directions:Determine the missing angle.
![Page 26: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/26.jpg)
#1
45º?
![Page 27: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/27.jpg)
#1
45º135º
![Page 28: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/28.jpg)
#2
65º
?
![Page 29: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/29.jpg)
#2
65º
25º
![Page 30: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/30.jpg)
#3
35º
?
![Page 31: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/31.jpg)
#3
35º
35º
![Page 32: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/32.jpg)
#4
50º
?
![Page 33: Angles](https://reader033.fdocuments.in/reader033/viewer/2022051821/568161e3550346895dd1fe75/html5/thumbnails/33.jpg)
#4
50º
130º