Question

What is the value of x, given that OP is parallel to NQ? X=8 X=14 X=15 X=28

Answer 1

The answer is 14. Hopefully you're still on the exam!!

Answer 2

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.

$\dfrac{PQ}{QM}=\dfrac{ON}{NM}\\\\\Rightarrow\dfrac{x}{56}=\dfrac{6}{24}\\\\\Rightarrow x=\dfrac{56\times6}{24}\\\\\Rightarrow x=14$