Download Angles of a Triangle

Angles of a Triangle
Name
The three interior angles of a triangle add up to 180'.
(mA + mt2 + mt3 - 180")
lf each side is extended in one direction,
exterior angles are formed. (t4, t5, t6)
An interior angle and its adjacent exterior angle
are supplements. (md + mt4 - 180")
An exterior angle of a triangle is equal to the sum
of the two remote interior angles. (mA = fftt2 + mt3)
s. The three exterior angles of a triangle add up to 360". (mz4 + mz5 +
mzi = 360")
Find the missing angle measures. Follow your answers in alphabetical order through
the maze.
3.
2.
162"
143
16
40"
120"
120"
START
370
D Milliken Publrshing Ccnrpany
180"
147"
FINISH
830
97"
90"
73'
MP3497
Triangle lnequalities
ln one triangle, the longest side is opposite the largest angle and the
shortest side is opposite the smallest angle.
when given the lengths of two sides of a triangle, the length of the third
side must be greater than their difference, but less than their sum.
Fill in the chaft.
lengths of two
sides of a trianqle
2.
7 and12
15 and 17
3.
2O and 25
4.
3and4
5.
9 and 15
6.
10 and 10
1.
greater
third side must be
less than
than
Place the letter of the largest angle or longest side in the blanks below. Diagrams are not
drawn to scale; base your answer on measurements
given.
8.x7Y
Y--7
\/
V
R
tr>,
z
v
'""4^
H
S
12'
Nn
'l-' X.t
16.
15"
B
A
3
c
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13,
I
14.
A"
,u\
t
.l ,/ll,/
'l
5
V
Name a Greek mathematician who is most famous for his theorem about right triangles.
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Triangle Side Theorem
The sum of the lengths of any two sides of a triangle is greater than the
length of the third side.
Determine if segments of the given lengths can make a triangle. lf they can, write the
corresponding letter in the blanks below.
1,2,3
3,4,5
11, 12,25
2,2,3
A
J
U
N
L
7,7 , 14
3,7,9
4,10,12
N
A
M
E
7, 11, 16
1, 18,24
11,22,30
7,9,
12
I
3,3,8
8,8,
15
3,9,
11
6,7,
15
B
o
R
o
G
6, 12,20
6,8,12
14, 16,35
9, 13,22
13, 15,25
L
A
I
K
N
Who was the first successful woman architect?
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OMilliken Publishing Company
MP4057