Question

(5x-1)+2y= 194° what is x and y?

Answer 1

Given a cyclic quadrilateral

The sum of the opposite angles = 180

so,

$\begin{gathered} 2y+90=180 \\ (5x-1)+76=180 \end{gathered}$

solve the first equation to find y as follows:

$\begin{gathered} 2y=180-90 \\ 2y=90 \\ y=\frac{90}{2}=45 \end{gathered}$

Solve the second equation to find x as follows:

$\begin{gathered} 5x-1+76=180 \\ 5x+75=180 \\ 5x=180-75 \\ 5x=105 \\ x=\frac{105}{5}=21 \end{gathered}$

so, the answer will be:

x = 21

y = 45