Angles in Polygon Sheet 1 - Math Worksheets 4 · PDF filePrintable Math Worksheets @ Angles in...
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Printable Math Worksheets @ www.mathworksheets4kids.com Sheet 1 Example: 1) 1200 -40 +580 1300 1400 Sum of the interior angles = ( Number of sides - 2 ) x 1800 2760 = ( 6 - 2) x 1800 = 4 x 180 = 7200 Sum of the interior angles = 1200 + 1400 + 1300 + +580 + - 40 + 7200 = 4440 + 3 3 = 7200 - 4440 = A B C ∠F ∠D = D E F 2760 3 ∠A ∠A = ∠B ∠C = = +580 = 920 + 580 = 1500 = -40 = 920 - 40 = 880 = = 920 +50 +400 + 500 A B C D E Sum of the interior angles = = ; ; ; 2) ∠L = ∠G = ∠H = +900 +800 +650 G H J K L M Sum of the interior angles = = ; ; ; 3) ∠T = ∠P = ∠R = +800 +500 +750 P Q R S T U Sum of the interior angles = = ; ; ; 4) ∠F = ∠A = ∠C = -200 +200 A B C D E F G Sum of the interior angles = = ; ; ; 5) ∠K = ∠H = ∠Ι = +300 -50 +50 H J K L M Sum of the interior angles = = ; ; ; 6) ∠T = ∠P = ∠S = +250 +350 P Q R S T Sum of the interior angles = = ; ; ; 7) ∠D = ∠B = ∠C = -450 -150 +200 A A B B C C D D E E Sum of the interior angles = = ; ; ; 8) ∠Z = ∠V = ∠Y = Sum of the interior angles = = ; ; ; 9) ∠D = ∠A = ∠B = V W X Y Z U Sum of the interior angles = = ; ; ; 1250 800 1400 1150 1300 1300 1150 1350 1300 1200 1400 1500 1300 1300 1050 1400 1050 1200 700 1350 1050 1350 +500 +600 +500 +250 +250 1200 700 1250 = = 920 Angles in Polygon Find the missing angle for each irregular polygon.
Transcript of Angles in Polygon Sheet 1 - Math Worksheets 4 · PDF filePrintable Math Worksheets @ Angles in...
Printable Math Worksheets @ www.mathworksheets4kids.com
� � � � � � � � � � �Sheet 1
Example:
1)
1200
−40
+580
1300
1400
Sum of the interior angles = ( Number of sides − 2 ) x 1800
2760
= ( 6 − 2) x 1800= 4 x 180 = 7200
Sum of the interior angles = 1200 + 1400 + 1300 +
+580 +
− 40 +
7200 = 4440 + 3 3 = 7200 − 4440 =
A
B
C
∠F
∠D =
D
E
F
2760 3
∠A
∠A =
∠B
∠C =
= +580 = 920 + 580 = 1500
= −40 = 920 − 40 = 880
= = 920
�+50
�+400 + 500
A
B
C D
E
Sum of the interior angles = = ; ;;
2)
∠L =∠G = ∠H =
� +900�+800
+650G
H �J
K
L
M
Sum of the interior angles = = ; ;;
3)
∠T =∠P = ∠R =
�+800 +500�
+750
P
Q
R
S
T
U
Sum of the interior angles = = ; ;;
4)
∠F =∠A = ∠C =
�−200
� +200
A
B
C
D E
F
G
Sum of the interior angles = = ; ;;
5)
∠K =∠H = ∠Ι =
� +300�−50
� +50H � J
K
LM
Sum of the interior angles = = ; ;;
6)
∠T =∠P = ∠S =
�+250
�+350P
Q R
S
T
Sum of the interior angles = = ; ;;
7)
∠D =∠B = ∠C =
�−450 � −150
�+200
A
A
B
B
C CD
D
E
E
Sum of the interior angles = �= ; ;;
8)
∠Z =∠V = ∠Y =
Sum of the interior angles = � = ; ;;
9)
∠D =∠A = ∠B =
V
WX
Y
ZU
Sum of the interior angles = �= ; ;;
1250800
1400
1150
1300
1300
1150
1350
1300
1200 1400
15001300
1300
10501400
1050 1200
�
700
1350
10501350
�� +500 �+600
+500
!+250
"+250
1200
700
1250
� = = 920
Angles in Polygon
Find the missing angle for each irregular polygon.
Printable Math Worksheets @ www.mathworksheets4kids.com
Sheet 1Angles in Polygon
Answer key
� � � � � � � � � � �Example:
1)
1200
−40
+580
1300
1400
Sum of the interior angles = ( Number of sides − 2 ) x 1800
2760
= ( 6 − 2) x 1800= 4 x 180 = 7200
Sum of the interior angles = 1200 + 1400 + 1300 +
+580 +
− 40 +
7200 = 4440 + 3 3 = 7200 − 4440 =
A
B
C
∠F
∠D =
D
E
F
2760 3
∠A
∠A =
∠B
∠C =
= +580 = 920 + 580 = 1500
= −40 = 920 − 40 = 880
= = 920
�+50
�+400 + 500
A
B
C D
E
Sum of the interior angles = = ; ;;
2)
∠L =∠G = ∠H =
� +900�+800
+650G
H �J
K
L
M
Sum of the interior angles = = ; ;;
3)
∠T =∠P = ∠R =
�+800 +500�
+750
P
Q
R
S
T
U
Sum of the interior angles = = ; ;;
4)
∠F =∠A = ∠C =
�−200
� +200
A
B
C
D E
F
G
Sum of the interior angles = = ; ;;
5)
∠K =∠H = ∠Ι =
� +300�−50
� +50H � J
K
LM
Sum of the interior angles = = ; ;;
6)
∠T =∠P = ∠S =
�+250
�+350P
Q R
S
T
Sum of the interior angles = = ; ;;
7)
∠D =∠B = ∠C =
�−450 � −150
�+200
A
A
B
B
C CD
D
E
E
Sum of the interior angles = �= ; ;;
8)
∠Z =∠V = ∠Y =
Sum of the interior angles = � = ; ;;
9)
∠D =∠A = ∠B =
V
WX
Y
ZU
Sum of the interior angles = �= ; ;;
1250800
1400
1150
1300
1300
1150
1350
1300
1200 1400
15001300
1300
10501400
1050 1200
�
700
1350
10501350
�� +500 �+600
+500
!+250
"+250
1200
700
1250
� = = 920
5400
5400
7200
7200
72009000
9000
54005400
800 1200
1200 1200
14501250 800 950 950 950 1200 130070014501100 1200
1400 1000 1000 1350 850 850 1100 12001050 1100
1300 1150 1300 1400 1250 1200 950850 500 450
Find the missing angle for each irregular polygon.
