Question

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

Answer 1

Answer:

$x=20$

Step-by-step explanation:

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

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

$3x+2x+20+4x-20=180$

Combine like terms:

$3x+2x+4x-20+20=180$

$9x=180$

Divide both sides by 9:

$\frac{9x}{9}=\frac{180}{9}$

$x=20$

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

Answer 2

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