1 Answer

Sanket Sudake · Answer 1 · 2022-03-27T04:45:04+0000

Answer:

AD = 6 ,
DC = 14 ,
$\angle A = 114^(\circ)$ ,
$\angle B = 66^(\circ)$ ,
$\angle C = 114^(\circ)$

Explanation:

From Euclidean Geometry, parallelograms satisfy the following properties:

1)
$\angle A = \angle C$ ,
$\angle B = \angle D$

2)
$\angle A +\angle D = \angle D + \angle C = \angle C +\angle B = \angle A+\angle B = 180 ^(\circ)$

3)
AD = BC ,
AB = DC

By 3):

AD = 6

By 3):

DC = 14

By 2):

$\angle A = 180^(\circ)-\angle D$

$\angle A = 180^(\circ)-66^(\circ)$

$\angle A = 114^(\circ)$

By 1):

$\angle B = 66^(\circ)$

By 1):

$\angle C = 114^(\circ)$

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