Question

Given that D is equidistant to G and F, find GED
a. 38
b. 40
c. 41
d. 45

Answer 1

Do you understand the fact that angle GED = angle DEF ?

Answer 2

Look at the data given. Can you figure out that the two triangles are congruent? (using SAS)

Answer 3

which means that in the two triangles, GD=DF, angle DGE = angle DFE and DE = DE.
Hence DGE triangle and DFE triangle are congruent.

Answer 4

If the two triangles are congruent then angle GED = angle DEF.
Which means that 2x+10 = 5x-10

Answer 5

edit*
the equation should be 2x+20 = 5x-10
gives us x=10,
And GED = 40....

Answer 6

thank you!