Question

Write and solve an equation that represents the value of x.
* 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:
\[
\boxed{121}
\]