Question

Please let me know !! ASAP PLS

Answer 1

Answer:

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

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:

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