Jl is a diameter of circle k. if tangents to circle k are constructed through points l and j, what relationship would exist between the two tangents? explain.

I. Let t be the line tangent at point J. We know that a tangent line at a  point on a circle, is perpendicular to the diameter comprising that certain point.
So t is perpendicular to JL

let l be the tangent line through L. Then l is perpendicular to JL
 
ii. So t and l are 2 different lines, both perpendicular to line JL.

2 lines perpendicular to a third line, are parallel to each other, so the tangents t and l are parallel to each other.

Remark. Draw a picture to check the steps