Respuesta :

Opposite angles are same.

[tex]\\ \sf\longmapsto x+17=3x-31[/tex]

[tex]\\ \sf\longmapsto 17+31=3x-x[/tex]

[tex]\\ \sf\longmapsto 2x=48[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{48}{2}=24m[/tex]

Answer:

x°=24°

Step-by-step explanation:

Solution,

(x+17)°=(3x-31)° because vertically opposite angles are always equal.

+17°=3x°-31°

by subtracting 17 from both, sides we get

+17°-17°=3x-32°-17°

=3x°-49°

by subtracting 3x from both sides, we get

x°-3x°=3x°-48°-3x°

-2x°=-48°

by dividing both sides with -2, we get

-2x°/-2=-48°/-2

=24°