Answer: x=14
Step-by-step explanation:
- The basic proportionality theorem says that when a line is parallel to a side of a triangle which intersects the other sides into two distinct points then the line must divides those sides in equal proportion.
Given: OP is parallel to NQ
By basic proportionality theorem ,
In Δ OMP , NQ must divide OM and MP in proportion.
[tex]\dfrac{PQ}{QM}=\dfrac{ON}{NM}\\\\\Rightarrow\dfrac{x}{56}=\dfrac{6}{24}\\\\\Rightarrow x=\dfrac{56\times6}{24}\\\\\Rightarrow x=14[/tex]
