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A triangle has one angle measuring 3X degrees the second angle measures 2X +20° and the third angle measures 4X -20° what is the value of X

Respuesta :

The sum of all 3 interior angles in a triangle is 180°.

so 3x+(2x+20)+(4x-20)=180
9x+20-20=180
9x=180
x=180/9
x=20

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

We have been a triangle has one angle measuring [tex]3x[/tex] degrees the second angle measures [tex]2x+20[/tex] degrees and the third angle measures [tex]4x-20[/tex] degrees. We are asked to find the value of x.

We know that all interior angles of a triangle add up-to 180 degrees.

[tex]3x+2x+20+4x-20=180[/tex]

Combine like terms:

[tex]3x+2x+4x-20+20=180[/tex]

[tex]9x=180[/tex]

Divide both sides by 9:

[tex]\frac{9x}{9}=\frac{180}{9}[/tex]

[tex]x=20[/tex]

Therefore, the value of x is 20 for our given triangle.

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