Question

ABCD is a rhombus. Find xA) x = 3B) x = 10 D) x = 5C) x = 2

Answer 1

ANSWER

5

EXPLANATION

The given shape is a rhombus

The sum of interior angles of a rhombus add up to 360 degrees

The opposite angles of a rhombus are equal to each other.

hence, adding up all the interior angles, we have;

$\begin{gathered} 9x+9x+135+135=360 \\ 18x+270=360 \end{gathered}$

collecting like terms, we have;

$\begin{gathered} 18x=360-270 \\ 18x=90 \\ x=\frac{90}{18} \\ x=5 \end{gathered}$

Therefore the value of x is 5