Question

Find the value of FG

Answer 1

FG = 16

Explanation:

∆FEG is congruent to ∆GEH. Therefore,

FG = HG

Find x

x + 11 = 3x + 1 (substitution)

Collect like terms

x - 3x = -11 + 1

-2x = -10

Divide both sides by -2

x = -10/-2

x = 5

✔️FG = x + 11

Plug in the value of x

FG = 5 + 11

FG = 16