Question

What is the value of x?

Answer 1

The correct answer in apex is 29

Answer 2

since the figure is a rhombus, the diagonals cut each other at right-angles and bisect each other, namely cut their vertices in equal halves.

what the dickens does all that mean? well, the angles at vertex C and vertex A are all twins, and therefore, ∡BCA = x, therefore


`\bf (3x-26)+(x)+(90)=180\implies 4x+64=180\implies 4x=116 \\\\\\ x=\cfrac{116}{4}\implies x=29`