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Find the value of x. Draw a triangle and label each interior angle before solving.
Then find the angle measures of the polygon.

Angle one: 2x°, angle two: xº, angle 3: (X + 8)°

Respuesta :

LadyStrange

Sum of all angles in a triangle = 180°

Which means :-

∠1 + ∠2 + ∠3 = 180°

[tex]2x + x + x + 8 = 180°[/tex]

[tex]4x + 8 = 180°[/tex]

[tex]4x = 180 - 8[/tex]

[tex]4x = 172[/tex]

[tex]x = \frac{172}{4} [/tex]

[tex]x = 43[/tex]

Angle 1 :-

= 2x

= 2 × 43

= 86°

Angle 2 :-

= x

= 43°

Angle 3 :-

= x + 8

= 43 + 8

= 51°

[tex]therefore \: , \: the \: value \: of \: x = 43°[/tex]

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