Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. DF−→− bisects ∠EDG . Find FG. The diagram is not to scale. A diagram of two triangles drawn in the interior of an angle is shown. Angle upper E upper D upper G is shown with point upper F located in the interior of the angle. Point upper F is connected to point upper D with a line segment. Angle upper E upper D upper F and angle upper G upper D upper F both are lab

Answer 1

The measure of length FG is 14 units

From the given diagram, since Line DF bisects angle EDG, hence;

EF = FG

Given the following parameters;

EF = n + 9

FG = 4n - 6

Equating both expressions:

n + 9 = 4n - 6

n - 4n = -6 - 9

-3n = -15

n = 5

Get the measure of FG:

FG = 4n - 6

FG = 4(5) - 6

FG = 14

Hence the measure of length FG is 14 units