Answer:
LB = 8
BG = 14
Step-by-step explanation:
In triangle GJL, MB || JG... (given)
Therefore, by Basic Proportionality Theorem:
[tex] \frac{12}{21} = \frac{2x + 2}{5x - 1} \\ \\ \frac{4}{7} = \frac{2x + 2}{5x - 1} \\ \\ 4(5x - 1) = 7(2x + 2) \\ \\ 20x - 4 = 14x + 14 \\ \\ 20x - 14x = 14 + 4 \\ \\ 6x = 18 \\ \\ x = \frac{18}{6} \\ \\ x = 3 \\ [/tex]
LB = 2x + 2 = 2*3 +2 = 6 + 2 = 8
BG = 5x - 1 = 5*3 - 1 = 15 - 1 = 14
