Find the value of x.

x = [?]°
1. 51° and 2. (3x)°

1 answer

To find the value of \( x \) given that \( x = 51° \) and \( x = (3x)° \), we first need to clarify the second equation.

If we interpret \( (3x)° \) as meaning that it is equal to \( 3x \) degrees, we can set up the following equation:

  1. \( x = 51° \)
  2. \( x = 3x \)

Now, substituting the value of \( x \) from the first equation into the second equation:

\[ 51 = 3x \]

To solve for \( x \), we divide both sides by 3:

\[ x = \frac{51}{3} = 17° \]

Now we have a clear contradiction because \( x \) cannot equal both \( 51° \) and \( 17° \).

Thus, we conclude that if you are looking for the value based on the first piece of information accurately, then:

\[ x = 51° \]

However, if the second condition implies a system of equations or a transformation that lacks clarity, please provide additional context for proper resolution.

For the most straightforward answer derived directly from the first and established \( x \) while checking against the second implication, we find:

  • The only consistent interpretation leads to \( x \) being precisely \( 51° \) without contradictions.

Therefore, the value of \( x \) is \( 51° \).