ANSWER
[tex]31 \degree,31 \degree,118 \degree[/tex]
EXPLANATION
The given triangle is isosceles, with interior angles,
[tex](3x + 7),(3x + 7),(12x + 22)[/tex]
The sum of the interior angles is 180°
[tex](3x + 7) + (3x + 7) + (12x + 22) = 180[/tex]
Group like terms
[tex]3x + 3x + 12x = 180 - 7 - 7 - 22[/tex]
Simplify;
[tex]18x = 44[/tex]
Divide through by 18 to get,
[tex]x = 8[/tex]
The angles are,
[tex](3 \times 8+ 7),(3 \times 8+ 7),(12 \times 8 + 22)[/tex]
[tex](24+ 7),(24+ 7),(96 + 22)[/tex]
[tex]31 \degree,31 \degree,118 \degree[/tex]
