Answer:
m∠ACD = 50°
m∠BDC = 160°
Step-by-step explanation:
From the picture attached,
Two parallel lines AC and BD are intersected by a transversal line.
Angles formed ∠ACD and ∠BDC are the consecutive angles.
By the theorem of consecutive interior angles,
m∠ACD + m∠BDC = 180°
(5x + 25)° + (25x + 35)° = 180°
30x + 60 = 180
30x = 180 - 60
30x = 150
x = 5
Therefore, m∠ACD = (5x + 25)
= 5(5) + 25
= 50°
And m∠BDC = (25x + 35)°
= 25(5) + 35
= 125 + 35
= 160°
