Lime
  • Lime
Here we go again. Tired of these yet? Obtuse triangles.
Mathematics
schrodinger
  • schrodinger
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Lime
  • Lime
Lime
  • Lime
The sum of interior angles in an obtuse triangle is 180°.
Lime
  • Lime
I'm pretty sure I have gotten this down. 180° - 84° = solution.

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campbell_st
  • campbell_st
well the 2 curved arcs that make DGF also make DEF.. so I'd say the angles are equal... and in a kite those angles are equal...
campbell_st
  • campbell_st
oh and the triangle DGF is reflected in the line DF to form DEF...
Lime
  • Lime
With the answers provided, "none of the above" would be equal to 96°, yes?
campbell_st
  • campbell_st
the angles DEF and DGF are not supplementary... which is what you have done... they are congruent
Lime
  • Lime
\[\angle DGF ≅ \angle DEF \] by ASA method?
campbell_st
  • campbell_st
but I don't think you need to prove congruency... just recognise the equal angle markings..
Lime
  • Lime
84° is equal to 84°.
campbell_st
  • campbell_st
correct

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