Answer:
Option (4)
Step-by-step explanation:
By applying triangle sum theorem in ΔABC,
m∠A + m∠B + m∠C = 180°
80° + 40° + m∠C = 180°
m∠C = 180° - 120°
m∠C = 60°
Since, ∠ACB ≅ ∠DCE [Vertically opposite angles]
m∠DCE = m∠ACB = 60°
Now by applying triangle sum theorem in ΔCDE,
m∠DCE + m∠CED + m∠CED = 180°
60° + 70° + x° = 180°
x = 180 - 130
x = 50°
Therefore, Option (4) will be the answer.
