Merging tubes on angle

can anyone tell me how if merging one tube with another on an angle to delete the tube on the inside that is poking through. see model

Since you are using Make, you will need to use the Intersect Faces With command on the right-click context menu to create edges where the tubes meet. Then delete the extra stuff inside. Note: your tubes don’t meet cleanly as drawn, which will cause problems. You might want to extend the short one so that the long one doesn’t stick through its edge. Also you should fix up the missing surfaces on the inside of the short tube.