A triangular skylight frame \(LMN\) is designed such that side lengths \(LM = LN\). In this variant, the exterior angle formed by extending segment \(MN\) beyond vertex \(N\) is \(136^\circ\).
 
triangular_skylight_visualization_single_arc_n.png
 
Answer the following questions based on the information given:
 
(a) Identify the equal interior angles.
 

(b) Calculate interior angles ∠LNM  and ∠LMN.
 

(c) Determine ∠L. 
 
 
(d) Furthermore, a second exterior angle is created at L by extending segment ML beyond vertex L. Find the exterior angle at L.