Question

Use the figure to Find FG

Answer 1

Step-by-step explanation:

Since, point F lie on the bisector of $\angle EDG.$

Therefore, F is equidistant from DE and DG

i. e. FE = FG

so, n + 6 = 4n - 3

$\therefore \: 6 + 3 = 4n - n \\ \therefore \: 9= 3 n \\ \implies \: n = \frac{9}{3} \\ \huge \boxed{ \implies \: n = 3} \\ now \\ FG = 4n - 3 \\ \therefore FG= 4 \times 3 - 3 \\\therefore FG = 12-3 \\ \huge \boxed{\therefore FG= 9}$

Answer 2

Answer:

Step-by-step explanation:

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