Download 1 A linear pair of angles are two adjacent angles whose non

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

page
1
page
2
page
3
page
4
Document related concepts
no text concepts found
Transcript 
CC Geometry R
Aim #1: How do we solve for unknown angles?
Do Now: Determine the measure of the missing angles in the diagram below and
explain what facts about angles you used.
A.
B.
C.
`
820
0
36
z0
x0
1720
0
y
1210
A linear pair of angles are two adjacent angles whose non-common sides form
a straight line.
C
What must be true about the measures of the angles in a
linear pair?
A
O
B
Two angles are called supplementary if the sum of their measures is _______0.
Two angles are called complementary if the sum of their measures is _______0.
Find m ≮HKI:
Find m≮DCE:
B
A
720
E
C
D
The total measure of the adjacent angles around a point is ________.
The total measure of the adjacent angles on one side of a line is______.
1
Two angles are vertical if their sides form opposite rays.
T
S
____ and ____ are oppositerays,
R
520
____ and ____ are opposite rays.
Vertical angles have _________ measure.
U
V
Find m ≮TRV:
Find the measures of each labeled angle. Give a reason for your solution.
In the figures below AB, CD, and EF are straight line segments. Find the measure of
each marked angle or find the unknown numbers labeled by the variables in the
diagrams. Give reasons for your solutions.
1.
≮a = _____
2.
2.
≮b = _____
2
3.
360
400
A
c
B
≮c = _______
4.
≮d = _______
d
A
820
d
B
5.
g
910
g
910
91
0
≮g = _______
g
6.
850
2x x
x = ________
350
7.
D
A
y+x
2x
y­x
y = _______ x = _______
C
B
3
A
8.
E
xo
C
D
x = ______
(4x­10)o
F
B
9.
C
B
3x+6
E
x­10
y
F
x­11
A
x = ______
y = _____
x = ______
y = _____
D
10.
y
Let's Sum it Up!!
• Adjacent angles are two angles with a common vertex and ray between them.
• Straight Angle: If two rays with the same vertex are distinct and collinear
(i.e. form a line), then each of the angles formed by the rays is called a straight
≮.
• A straight angle measures 180 .
• Vertical Angles : Two angles are vertical angles (or vertically opposite angles) if their
sides form two pairs of opposite rays.
• Complementary angles are two angles with a sum of 90 0 .
• Supplementary angles are two angles with a sum of 180 0.
• Angles that form a linear pair are adjacent and supplementary.
0
4
Related documents