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I have the shape in the picture below. I have 3 known sides A,B,C and all 5 interior angles known

Is there a formula to calculate D,E,F? Or aren't there enough datapoints?

irregular polygon picture

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    $\begingroup$ What have you tried so far? What relationships between $D,E,F$ can you deduce based upon your diagram? (There is in fact enough data.) $\endgroup$ Sep 26, 2014 at 18:53
  • $\begingroup$ There is certainly enough information to draw it to scale so there must enough information to calculate the height in this case but if had not been given A and C but the other two sides instead then in this case there would have been infinitely many solutions. $\endgroup$ Sep 26, 2014 at 22:11

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HINT: Name the points at 145 and 135 degrees as P and Q. P and Q are given or fixed. Take P as origin.Find equations of line through P at given inclination. Likewise also find at Q. Find point of intersection of these two lines

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