Respuesta :
Taking x as the measure of the first triangle, we know that the second one measures three times as x:
[tex]3x[/tex]And the third one measures 55 degrees more than the first:
[tex]x+55[/tex]We know that the sum of the angles of a triangle is 180, use this information to find x:
[tex]\begin{gathered} x+3x+(x+55)=180 \\ 5x+55=180 \\ 5x=180-55 \\ x=\frac{125}{5} \\ x=25 \end{gathered}[/tex]It means that the first angle measures 25°. Use this value to find the second and third angles:
[tex]\begin{gathered} 3x=3\cdot25=75 \\ x+55=25+55=80 \end{gathered}[/tex]It means that the second angle measures 75° and the third one measures 80°.
