mattksingh
mattksingh mattksingh
  • 16-11-2020
  • Mathematics
contestada

solve for x no work needed

solve for x no work needed class=

Respuesta :

thepingu
thepingu thepingu
  • 16-11-2020

Answer:

[tex]\huge\boxed{82 \textdegree}[/tex]

Step-by-step explanation:

We know that all angles in a triangle will add up to 180°. Since we know the measure of all 3 angles, we can create this equation:

[tex]31+x+(x-15) = 180[/tex]

Let's solve for x.

Combine like terms:

[tex]31+2x-15=180[/tex]

Add 15 to both sides:

[tex]31+2x=195[/tex]

Subtract 31 from both sides:

[tex]2x=164[/tex]

Divide both sides by 2:

[tex]x= 82[/tex]

So x is 82°.

Hope this helped!

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