Given PT = 3 QT. What is the measure of angleAPT if two circles with their centres at P,Q touch externally at T and the common tangent is AB.

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Given PT = 3 QT. What is the measure of angleAPT if two circles with their centres at P,Q touch externally at T and the common tangent is AB.<br><img alt='73573.png' src='https://www.fatskills.com/math-simplified/73573.png'/>