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fine the value of x in(2x+5)(8x+5)

Sagot :

We are given the value of two angles as functions of "x"

[tex]\begin{gathered} \text{angle 1 = 2x+5;} \\ \text{angle 2 = 8x+5} \end{gathered}[/tex]

These are supplentary angles, that is, their sum is 180 degrees

[tex]\text{angle 1 + angle 2 =180}^{\circ}[/tex]

Replacing the values for the angles

[tex](2x+5)+(8x+5)=180[/tex]

Now we solve the equation, first by adding similar terms

[tex]10x+10=180[/tex]

Now we substract 10 on both sides

[tex]10x=170[/tex]

Now we divide by 10 on both sides

[tex]x=\frac{170}{10}=17[/tex]

The value of x is 17

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