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

`x = 30`

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.

`(6x)/(6) = (180)/(6)`

`x = 30`