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Parallelogram Angles
Hauen laguntzarekin: Smith
65
60
Make a conjecture (educated guess) about the
       opposite angles in a parallelogram
∘
115
∘
120
∘
∘
115
120
65
∘
∘
60
∘
∘
72
58
∘
108
122
∘
∘
∘
108
122
∘
72
∘
58
∘
∘
           Opposite angles
 of a parallelogram are congruent
Blue angles are ≅
Red angles are ≅
Fill in the missing parallelogram angles
63
∘
117
∘
∘
∘
Fill in the missing parallelogram angles
133
∘
∘
∘
47
∘
Fill in the missing parallelogram angles
∘
∘
108
∘
72
∘
Use the parallelogram to find x AND y
x =
80
∘
100
∘
y=
4x
∘
40y
∘
Use the parallelogram to find x AND y
x =
12y
∘
120
∘
y=
4x
∘
60
∘
65
Make a conjecture (educated guess) about the
       CONSECUTIVE angles in a parallelogram
60
∘
115
∘
120
∘
∘
115
120
65
∘
∘
60
∘
∘
72
58
∘
108
122
∘
∘
∘
108
122
∘
72
∘
58
∘
∘
65
CONSECUTIVE angles in a parallelogram = 180
60
∘
115
∘
120
∘
∘
115
120
65
∘
∘
60
∘
∘
72
58
∘
108
122
∘
∘
∘
108
122
∘
72
∘
58
∘
∘
∘
Fill in the missing parallelogram angles
∘
130
∘
∘
∘
Fill in the missing parallelogram angles
∘
∘
110
∘
∘
Fill in the missing parallelogram angles
40
∘
∘
∘
∘
Use the parallelogram to find x AND y
x =
8y
∘
100
∘
y=
100
∘
20x
∘
Use the parallelogram to find x AND y
x =
30
∘
3y
∘
y=
10x
∘
∘
The end
◡
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