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

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Answer:

Let 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  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.

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