From the previous questions: angle KLN = 35&deg;.<br>Given angle KLN = 27/55 of angle MLN, so angle MLN = 35&deg; times 55/27.<br>In triangle LMN, angle LMN = 180&deg; - angle MLN - angle LNM.<br>Working through the figure gives angle LMN = 54&deg;.<br><br>Final Answer: 54&deg;