In the diagram ACB = 65 BCD? 115 180 65 90
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A point P on the line segment GK may be parametrically represented as
t is a real parameter which controls where on the segment P is. t=0 means P=G, t=1 means P=K. We're interested in the t that gives a 3:2 ratio for PG:PK. That's closer to K so t>1/2. t=3/(3+2) = 3/5.
Answer: (26/5, 8)