Question 349694
{{{drawing(300,300,-2,10,-2,10,circle(0,0,0.3),line(0,0,4,3),line(0,0,2,9),locate(4.4,3,B),locate(2.4,9,C),locate(0.4,0,A),circle(4,3,0.3),circle(2,9,0.3),grid(1),graph(300,300,-2,10,-2,10,0))}}}
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The angle that AB makes with the x-axis is,
{{{tan(BAX)=3/4}}}
{{{BAX=36.87}}}degrees
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The angle that AC makes with the x-axis is,
{{{tan(CAX)=9/2}}}
{{{CAX=77.47}}}degrees
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{{{ABC=CAX-BAX}}}
{{{ABC=77.47-36.87}}}
{{{highlight(ABC=40.6)}}}degrees