Answer:
Option A.
Step-by-step explanation:
Consider below figure attached with this question
Given information: GI = 20 and H = 100°
GHIJ is a rhombus, so all sides are equal.
[tex]GH=HI=IJ=JG[/tex]
Since GH=HI, so
[tex]\angle HIG\cong \angle HGI[/tex]
Let,
[tex]m\angle HIG=m\angle HGI=x[/tex]
The sum of all interior angles of a triangle is 180 degree.
[tex]x+x+100=180[/tex]
[tex]2x=80[/tex]
[tex]x=40[/tex]
In a triangle smaller angle have smaller opposite side and greater angle have larger opposite side.
[tex]40<100[/tex]
[tex]m\angle HGI<\angle GHI[/tex]
[tex]HI<GI[/tex]
[tex]HI<20[/tex]
The value of HI is less than 20.
Therefore, the correct option is A.
