Answer:
x = 10
Step-by-step explanation:
It's given in the question that both the traingles JCD & JKL are similar. So their ratio of corresponding similar sides will be proportional to each other.
[tex] = > \frac{JD}{JL} = \frac{JC}{JK} = \frac{DC}{LK} [/tex]
[tex] = > \frac{15}{50} = \frac{8 + x}{60} = \frac{DC}{LK} [/tex]
[tex] = > \frac{15}{50} = \frac{8 + x}{60} [/tex]
[tex] = > 8 + x = \frac{15 \times 60}{50} = 18[/tex]
[tex] = > x = 18 - 8 = 10[/tex]
