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work out the angle of x please answer ASAP!!

Work Out The Angle Of X Please Answer ASAP class=

Sagot :

Given:

The figure of a pentagon.

To find:

The value of the x.

Solution:

We know that, the sum of all interior angles of a pentagon is 540 degrees. So,

[tex](5x-25)+(6x+25)+(6x-3)+(9x)+(7x+15)=540[/tex]

[tex](5x+6x+6x+9x+7x)+(-25+25-3+15)=540[/tex]

[tex]33x+12=540[/tex]

Subtract both sides by 12.

[tex]33x+12-12=540-12[/tex]

[tex]33x=528[/tex]

Divide both sides by 33.

[tex]x=\dfrac{528}{33}[/tex]

[tex]x=16[/tex]

Therefore, the value of the x is 16.

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