Answer:
[tex]AD = 6[/tex], [tex]DC = 14[/tex], [tex]\angle A = 114^{\circ}[/tex], [tex]\angle B = 66^{\circ}[/tex], [tex]\angle C = 114^{\circ}[/tex]
Step-by-step explanation:
From Euclidean Geometry, parallelograms satisfy the following properties:
1) [tex]\angle A = \angle C[/tex], [tex]\angle B = \angle D[/tex]
2) [tex]\angle A +\angle D = \angle D + \angle C = \angle C +\angle B = \angle A+\angle B = 180 ^{\circ}[/tex]
3) [tex]AD = BC[/tex], [tex]AB = DC[/tex]
By 3):
[tex]AD = 6[/tex]
By 3):
[tex]DC = 14[/tex]
By 2):
[tex]\angle A = 180^{\circ}-\angle D[/tex]
[tex]\angle A = 180^{\circ}-66^{\circ}[/tex]
[tex]\angle A = 114^{\circ}[/tex]
By 1):
[tex]\angle B = 66^{\circ}[/tex]
By 1):
[tex]\angle C = 114^{\circ}[/tex]
