Given:
[tex]\begin{gathered} \angle GHI=54^{\circ} \\ \angle GIH=3x \end{gathered}[/tex]
To find:
The value of x.
Explanation:
Since it is a rhombus.
The triangle GHI is an isosceles traiangle.
Using the angle sum property,
[tex]\begin{gathered} \angle GHI+\angle GIH+\angle HGI=180 \\ 54+3x+3x=180 \\ 6x=180-54 \\ 6x=126 \\ x=21 \end{gathered}[/tex]
Thus, the value of x is 21.
Final answer:
The value of x is 21.
