Respuesta :

Given is a triangle. As we know, the sum of all the interior angles in a triangle is 180 degrees, we have,

[tex]\begin{gathered} 7x-2+4x+5x-10=180 \\ 16x=180+2+10 \\ 16x=192 \\ x=\frac{192}{16}=12 \end{gathered}[/tex]

The angle A is 4x, therefore, the value can be calculated by substituting for x. We have,

[tex]4x=4\times12=48[/tex]

Thus, A = 48 degrees.

SImilarly, we get,

[tex]\begin{gathered} B=7x-2=7\times12-2=82 \\ C=5x-10=5\times12-10=50 \end{gathered}[/tex]

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