You can put this solution on YOUR website! .
Angle substended by the common tangents of two ellipses 4(x-4)2+25y2=100 and 4(x+1)2+y2=4 at the origin is
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Ellipse = 100 and ellipse = 4.
I made the work of drawing these ellipses.
After getting the plots, I make a statement: THIS POST IS NONSENSE.
In other words, I T D O E S N O T M A K E S E N S E.
All other tutors can save their valuable time looking in these plots.
What else one may expect from the person who writes "Angle substended . . . "