Respuesta :

Answer:

x=12

Step-by-step explanation:

11x - 17 + 65 = 180

      11x + 48 = 180

             -48    -48  

               11x = 132

               11       11

                  x = 12

The value of x in in the given diagram is x   =  17.45

Note that:

  • The sum of angles on a straight line is 180°
  • <5° and <(11x - 17)° are on a straight line

Therefore:

5  +   (11x  -  17)     =   180

Open the parenthesis:

5  +  11x  -  17   =   180

Collect like terms

11x   =  180  +  17  -  5

11x  =  192

Divide both sides by 11

[tex]\frac{11x}{11} = \frac{192}{11} \\\\x = 17.45[/tex]

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