Answer:
Step-by-step explanation:
#1). It could be good to provide us with the picture, because the answer depends from the angle we choose for letter A.
--- If angle A is acute, then m∠A = m∠D
and
6x + 12 = 2x + 20 ⇒ x = 2
m∠A = m∠D = 24°
m∠B = m∠C = 180° - 24° = 156°
--- If angle A is obtuse, then m∠A + m∠D = 180°
and
6x + 12 + 2x + 20 = 180 ⇒ x = 18.5
m∠A = m∠B = 6(18.5) + 12 = 123°
m∠D = m∠C = 2(18.5) + 20 = 57°
#2). 12k + 5 = 145
12k = 140
k = [tex]\frac{35}{3}[/tex] = [tex]11\frac{2}{3}[/tex]
