Respuesta :

Answer:

The value of x is 84 and the remaining angles are: 76° and 86°

Step-by-step explanation:

Given three angles are

18

x-8

and

x+2

We have to find the angles and for that we have to find the value of x

As we know that the sum of internal angles of a triangle is 180°

So,

[tex]18+(x-8)+(x+2) = 180\\18+x-8+x+2 = 180\\2x+12 = 180\\2x = 180-12\\2x = 168\\x = \frac{168}{2}\\x = 84[/tex]

And the angles are:

x-8 = 84-8 = 76

x+2 = 84+2 = 86

Hence,

The value of x is 84 and the remaining angles are: 76° and 86°

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