Answer:

Step-by-step explanation:
Given


Required
Determine the coordinates of L
Since T is the midpoint of K and L, we make use of:

and

Solving for 


Multiply through by 2



Solving for 


Multiply through by 2



Hence: The coordinates of L is:

4 - 1/x (16)-1/x 2
4x-18/x
Just plot the points. easssyyyyyyo

The shown pair of angles are Co interior angle pair, therefore the sum of those angles is 180°






The required value of x is 7°