Question

Solve the following equation by using inverse operations to find the value of x. Hint: The sum of all interior angles in a triangle is 180 degrees.
x=60
x=90
x=30
x=180

Answer 1

Answer:

$x = 30$

Step-by-step explanation:

Given $2x, 3x, x$, as the interior angles of the ∆, since sum of interior angles of ∆ = 180°, equation to solve for the value of x is given as:

$2x + 3x + x = 180$

Combine like terms

$6x = 180$

Apply the inverse operation of multiplication to solve for x. Since 6 is multiplying x = 6x, to get the value of x, the inverse operation of multiplication is division. Therefore, we would divide each side of the equation by 6.

$\frac{6x}{6} = \frac{180}{6}$

$x = 30$