Question

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Answer 1

From the given data, we know that interior angles add up to 180 degrees, then we can write

$x+x+6+3x+19=180$

By combining similar terms, we get

$5x+25=180$

By moving 25 to the right hand side, we have

$\begin{gathered} 5x=180-25 \\ 5x=155 \end{gathered}$

then, x is given by

$\begin{gathered} x=\frac{155}{5} \\ x=31 \end{gathered}$

Now, since angle A measure x, then

$\angle A=31$

since angle B measures x+6, then

$\begin{gathered} \angle B=31+6 \\ \angle B=37 \end{gathered}$

and finally, since angle C measure 3x+19. then

$\begin{gathered} \angle C=3(31)+19 \\ \angle C=112 \end{gathered}$

Therefore, the answers are

$\begin{gathered} \angle A=31 \\ \angle B=37 \\ \angle C=112 \end{gathered}$