Answer
Angles (in order: 1st, 2nd, 3rd): $94^{\circ},\ 47^{\circ},\ 39^{\circ}$
Work Step by Step
From the text, we build expressions relating the angles:
$\left[\begin{array}{lll}
\text{ 1st angle, } A & = & 2B\\
\text{ 2nd angle, } B & = & B\\
\text{ 3rd angle, } C & = & B-8
\end{array}\right.$
$ A+B+C=180\qquad$... sum of angles is $180^{\circ}$
... replace A and C with corresponding expressions
$ 2B+B+B-8=180\qquad$... solve for B
$4B-8=180$
$4B=188$
$B=47^{\circ}$
Back substitute:
$A=2B=94^{\circ}$
$C=B-8^{\circ}=39^{\circ}$
Angles (in order: 1st, 2nd, 3rd): $94^{\circ},\ 47^{\circ},\ 39^{\circ}$
