When two angles are equal in a triangle the opposite sides of them are also equal. The value of the side GH is 60 units.
Given information-
In [tex]\Delta FGH [/tex],
[tex]m\angle f=m\angle h[/tex]
The sides of the triangle,
[tex]GF=x+40[/tex]
[tex]HF=3x-20[/tex]
[tex]GH=2x+20[/tex]
Isosceles triangle-
An isosceles triangle is a triangle in which two sides and two angle are equal.
When two angles are equal in a triangle the opposite sides of them are also equal. Therefore,
[tex]GF=GH\\
[/tex]
Put the values,
[tex]\begin{aligned}\\
x+40&=2x+20\\
2x-x&=40-20\\
x&=20\\
\end[/tex]
Thus the value of the GH is,
[tex]GH=2x+20\\
GH=2\times20+20\\
GH=60[/tex]
Thus the value of the side GH is 60 units.
Learn more about the isosceles triangle here;
https://brainly.com/question/7915845
