Question

I just need a brief explanation with the answer . I also don’t need the X I just need the rest

Answer 1

m∠FGH= 29º

m∠FGI=29º

m∠FGI=58º

1) The measure of ∠FGH is found by plugging into that the value of x.

`m\angle FGH=3x-1\Rightarrow m\angle FGH=3(10)-1\Rightarrow m\angle FGH=29`

Once we know the value of x.

b) m∠HGI

`m\angle FGH=4x\text{ }-11\Rightarrow4(10)-11\Rightarrow29^(\circ)`

Note that bisection yields congruent angles.

c) m∠FGI

`\begin{gathered} m\angle FGI\text{ = m}\angle FGH\text{ +m}\angle HGI \\ m\angle FGI=29+29 \\ m\angle FGI=58 \end{gathered}`

3) Hence, the answers are:

29º

29º

58º