Answered

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(5x-1)+2y= 194° what is x and y?

Sagot :

Given a cyclic quadrilateral

The sum of the opposite angles = 180

so,

[tex]\begin{gathered} 2y+90=180 \\ (5x-1)+76=180 \end{gathered}[/tex]

solve the first equation to find y as follows:

[tex]\begin{gathered} 2y=180-90 \\ 2y=90 \\ y=\frac{90}{2}=45 \end{gathered}[/tex]

Solve the second equation to find x as follows:

[tex]\begin{gathered} 5x-1+76=180 \\ 5x+75=180 \\ 5x=180-75 \\ 5x=105 \\ x=\frac{105}{5}=21 \end{gathered}[/tex]

so, the answer will be:

x = 21

y = 45

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