Correct Answer - Option 1 : 30 and 120
Given
∠L = 4 × ∠M
Concept
Angel opposite to equal sides of an isosceles triangle are equal
Calculation
Let ∠M = ∠N be x
So, ∠L = 4x ----(i)
Since, LM = LN
So, ∠LNM = ∠LMN
⇒ x + 4x + x = 180°
⇒ 6x = 180°
⇒ x = 30°
So, ∠M = ∠N = 30°
So, ∠L = 4x = 4 × 30°
⇒ 120°
∴ The value of ∠N and ∠L is 30° and 120°.