anonymous
  • anonymous
Given that D is equidistant to G and F, find GED a. 38 b. 40 c. 41 d. 45
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
Do you understand the fact that angle GED = angle DEF ?
anonymous
  • anonymous
Look at the data given. Can you figure out that the two triangles are congruent? (using SAS)

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anonymous
  • anonymous
which means that in the two triangles, GD=DF, angle DGE = angle DFE and DE = DE. Hence DGE triangle and DFE triangle are congruent.
anonymous
  • anonymous
If the two triangles are congruent then angle GED = angle DEF. Which means that 2x+10 = 5x-10
anonymous
  • anonymous
edit* the equation should be 2x+20 = 5x-10 gives us x=10, And GED = 40....
anonymous
  • anonymous
thank you!

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