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

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.

`(PQ)/(QM)=(ON)/(NM)\\\\\Rightarrow(x)/(56)=(6)/(24)\\\\\Rightarrow x=(56*6)/(24)\\\\\Rightarrow x=14`