Respuesta :

angles in a triangle total 180°

180=128+5x+10+9x
180-128-10=5x+9x
42=14x
x=3

Answer:

The value of x is 3.

Step-by-step explanation:

It is given that the angles of a triangle are 128, 5x+10 and 9x.

According to the angle sum property of a triangle, the sum of all interior angles of a triangle is 180 degrees.

[tex]128+5x+10+9x=180[/tex]

[tex]138+14x=180[/tex]

[tex]14x=180-138[/tex]

[tex]14x=42[/tex]

Divide both sides by 14.

[tex]x=3[/tex]

Therefore the value of x is 3.