Question

If GI = 20 and H = 100°, then HI ___ 20.
A. <
B.=
c.>

Answer 1

It is smaller than 20, A

Answer 2

Option A.

Explanation:

Consider below figure attached with this question

Given information: GI = 20 and H = 100°

GHIJ is a rhombus, so all sides are equal.

`GH=HI=IJ=JG`

Since GH=HI, so

`\angle HIG\cong \angle HGI`

Let,

`m\angle HIG=m\angle HGI=x`

The sum of all interior angles of a triangle is 180 degree.

`x+x+100=180`

`2x=80`

`x=40`

In a triangle smaller angle have smaller opposite side and greater angle have larger opposite side.

`40<100`

`m\angle HGI<\angle GHI`

`HI<GI`

`HI<20`

The value of HI is less than 20.

Therefore, the correct option is A.