Question

Given: △KLM, LM=20 3
m∠L=105°, m∠M=30°
Find: KL and KM

Answer 1

Explanation:

Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.

KM = 30 + 10√3

KL = 10√6