Find the value of x.

x = [?]°
There's a triangle with the number 43° and X down to the left and the square down to the right. Proof enough for you?

1 answer

To find the value of \( x \) in a triangle where one of the angles is \( 43^\circ \) and the other angle is denoted as \( x \) (while the third angle is a right angle, \( 90^\circ \)), we can use the fact that the sum of the angles in a triangle is always \( 180^\circ \).

The equation can be set up as follows:

\[ x + 43^\circ + 90^\circ = 180^\circ \]

Now combine \( 43^\circ \) and \( 90^\circ \):

\[ x + 133^\circ = 180^\circ \]

Next, solve for \( x \):

\[ x = 180^\circ - 133^\circ \] \[ x = 47^\circ \]

Thus, the value of \( x \) is:

\[ \boxed{47^\circ} \]