Find the value of x.

Question

1. 51° and 2. (3x)°
x = [?]°

Answer 1

To find the value of \( x \) given the two angles \( 51^\circ \) and \( (3x)^\circ \), we can set up the equation:

\[ 51 + 3x = 180 \]

This equation implies that the angles are supplementary (add up to 180 degrees).

Now, we can solve for \( x \):

1. Subtract 51 from both sides:

\[ 3x = 180 - 51 \]

\[ 3x = 129 \]

2. Divide both sides by 3:

\[ x = \frac{129}{3} \]

\[ x = 43 \]

Thus, the value of \( x \) is \( 43^\circ \).