richkidq24 richkidq24
  • 26-05-2017
  • Mathematics
contestada

The angles of a triangle are 128, 5x+10 and 9x. What is the value of x?

Respuesta :

eliza154
eliza154 eliza154
  • 26-05-2017
angles in a triangle total 180°

180=128+5x+10+9x
180-128-10=5x+9x
42=14x
x=3
Answer Link
DelcieRiveria DelcieRiveria
  • 03-06-2019

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.

Answer Link

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