Answer:
∠2 = 50°
Option 4 is correct.
Step-by-step explanation:
In the rhombus, m∠3=80°
∠1=∠2 (Alternate angle because opposite line of rhombus is parallel)
∠1=∠4 ( Base of isosceles triangle is equal )
In ΔABC
∠1 + ∠4 + ∠3 = 180° (Angle sum property of triangle)
∠2 + ∠2 + ∠3 = 180° ( ∵ ∠1=∠2 ,∠4=∠2 )
2∠2 + 80° = 180°
2∠2 = 100°
∠2 = 50°
Hence, The measure of ∠2 = 50°
