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
o12R i------7
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.
,-ltr.lilliken Pr ri:'li:hing
f crr:pany
\"4p4457
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?
l-q$q
ffi OMilliken Publishing Company
MP4057
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
o12R i------7
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.
,-ltr.lilliken Pr ri:'li:hing
f crr:pany
\"4p4457
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?
l-q$q
ffi OMilliken Publishing Company
MP4057
