Question

Find the value ( s ) of x and y

Answer 1

Since the sum of the internal angles of a triangle is 180 degrees then you have the following

$\begin{gathered} 90+(6x+y)+(4x+2y)=180 \\ 90\text{ because it is a right triangle} \end{gathered}$

Since angle Y is right, that is, it measures 90 degrees, then its supplementary angle also measures 90 degrees, because 90 + 90 = 180.

Now