Answer:
m∠CDE = 37°
Step-by-step explanation:
Since, AB║CD and AC is a transversal line.
∠EAB ≅ ∠ECD [Alternate interior angles]
m∠EAB = m∠ECD = 25°
m∠CED + m∠AED = 180° [Linear pair of angles]
m∠CED + 62° = 180°
m∠CED = 180° - 62°
= 118°
By triangle sum theorem In ΔCDE,
m∠CED + m∠CDE + m∠ECD = 180°
118° + m∠CDE + 25° = 180°
m∠CDE + 143° = 180°
m∠CDE = 37°
