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Question

asked Jan 12, 2022 205k views

1 Answer

Mpark · Answer 1 · 2022-01-19T10:11:09+0000

Answer:

AD = 8 ,
DC = 15 ,
$m\,\angle A = 112^(\circ)$ ,
$m\,\angle B = 68^(\circ)$ ,
$m\,\angle C = 112^(\circ)$

Step-by-step explanation:

If the quadrilateral presented in figure is a parallelogram, then the following conditions are satisfied:

AD = BC (1)

AB = DC (2)

$m\,\angle D = m\,\angle B$ (3)

$m\,\angle A = m\,\angle C$ (4)

$m\,\angle A + m\,\angle B = 180^(\circ)$ (5)

$m\,\angle C + m\,\angle D = 180^(\circ)$ (6)

If we know that
$m\,\angle D = 68^(\circ)$ ,
AB = 15 and
BC = 8 , then we have the following results:

AD = 8 ,
DC = 15 ,
$m\,\angle A = 112^(\circ)$ ,
$m\,\angle B = 68^(\circ)$ ,
$m\,\angle C = 112^(\circ)$