In the rhombus, m< 3=80. find m< 2

∠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°

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