Question

Quadrilateral FGHI is a rhombus and m∠GIH=3x. What is the value of x?IHGF54°x=°

Answer 1

Given:

`\begin{gathered} \angle GHI=54^(\circ) \\ \angle GIH=3x \end{gathered}`

To find:

The value of x.

Step-by-step explanation:

Since it is a rhombus.

The triangle GHI is an isosceles traiangle.

Using the angle sum property,

`\begin{gathered} \angle GHI+\angle GIH+\angle HGI=180 \\ 54+3x+3x=180 \\ 6x=180-54 \\ 6x=126 \\ x=21 \end{gathered}`

Thus, the value of x is 21.

Final answer:

The value of x is 21.