Vertically opposite angles are equal - PowerPoint PPT Presentation

1 / 15
About This Presentation
Title:

Vertically opposite angles are equal

Description:

NON - PARALLEL LINES Try example Vertically opposite angles are equal Corresponding angles With parallel lines corresponding angles are equal Alternate angles With ... – PowerPoint PPT presentation

Number of Views:1747
Avg rating:3.0/5.0
Slides: 16
Provided by: JohnPl152
Category:

less

Transcript and Presenter's Notes

Title: Vertically opposite angles are equal


1
NON - PARALLEL LINES
Try example
Vertically opposite angles are equal
2
Corresponding angles
3
With parallel lines
corresponding angles are equal
4
Alternate angles
5
With parallel lines
alternate angles are equal
Try example
6
A triangle has three angles
Try example
See proof
Angles in a triangle add up to 180o
7
Example Find angles r, s t
137 o
t
s
r
8
r 137o (vertically opposite angles) s
43o (Angles on a straight line) t 43o (Angles
on a straight line or vertically opposite angles)
Solution
137 o
t
s
r
9
Example Find angles a, b c
a
73o
b
c
10
a 73o (vertically opposite angles) b
73o Alternate angles c 73o (corresponding
angles) d 107o (angles on straight line)
Solution
a
73o
b
c
d
11
35o
Examples Find angle m Find angle n
n
57o
44o
m
12
m 180 - (44 35) 180 - 79 101o n
180 - (90 57) 180 - 147 33o
35o
n
57o
44o
m
13
The triangle has three angles
Alternate angles on parallel lines are equal
The three angles make a straight line. They add
up to 180o
Hence, angles in a triangle add up to 180o
14
Alternate angles
Another Proof
Corresponding angles
Three angles in a triangle
15
THE END
Write a Comment
User Comments (0)
About PowerShow.com