Question

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

Answer 1

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.

$GH=HI=IJ=JG$

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.

$40$

$m\angle HGI$

$HI$

$HI$

The value of HI is less than 20.

Therefore, the correct option is A.

Answer 2

It is smaller than 20, A