Answer: The required value of x is 22.
Step-by-step explanation: Given that B and F are the midpoints of the sides AC and AE of triangle ACE.
Also, BF = 2x and CE = 88.
We are to find the value of x.
Midpoint theorem : If a line segment joins the midpoints of any two sides of a triangle, then it is parallel to the third side and its length is equal to half of the length of the third side.
From triangle ACE, we have
B and F are the midpoints of the sides Ac and AE respectively, so BF will be parallel to CE and its length will ne half of the length of side CE.
Therefore,

Thus, the required value of x is 22.