Write and solve an equation that represents the value of x.

Question

* 19 degrees
* (x - 50) degrees
Complimentary angle

Answer 1

To find the value of \( x \) given that \( 19^\circ \) and \( (x - 50)^\circ \) are complementary angles, we can use the property that complementary angles sum up to \( 90^\circ \).

We can set up the equation as follows:

\[ 19 + (x - 50) = 90 \]

Now, let's solve for \( x \):

1. Combine like terms: \[ 19 + x - 50 = 90 \] \[ x - 31 = 90 \]

2. Add \( 31 \) to both sides: \[ x = 90 + 31 \] \[ x = 121 \]

Thus, the solution is: \[ \boxed{121} \]