Little explorations with HP calculators (no Prime)

[Dieter]

(03-29-2017 06:15 PM)Han Wrote:  So \(\angle BED\) , \(\angle BDE \), \( \angle CDE \) and \( \angle AED \) should be the only angles whose measure you cannot determine directly from the properties mentioned. What if you set up an appropriate system of equations involving these angles?

I have tried this as well. Let <BDE = u, <BED = v, <CDE = x and <AED = y and it is possible to set up several linear equations, for instance...

u + v = 162
x + y = 111
u + x = 132
v + y = 141

...but I cannot get four independent ones, so there is no solution for a linear equation system. What do you get?

Dieter