Supplementary Angles worksheet for students to practice finding missing angles on a straight line.

Problem: Solve for angle \( x \) in each of the given supplementary angles.

#### Key Concept:
Two angles are supplementary if their measures add up to \( 180^\circ \). Therefore, for any two supplementary angles \( A \) and \( B \):
\[
A + B = 180^\circ
\]
If one angle is given as \( y \), then the other angle \( x \) can be found using:
\[
x = 180^\circ - y
\]

#### Solutions:

1. Given: \( x \) and \( 80^\circ \)
\[
x + 80^\circ = 180^\circ
\]
\[
x = 180^\circ - 80^\circ = 100^\circ
\]
Answer: \( x = 100^\circ \)

2. Given: \( x \) and \( 25^\circ \)
\[
x + 25^\circ = 180^\circ
\]
\[
x = 180^\circ - 25^\circ = 155^\circ
\]
Answer: \( x = 155^\circ \)

3. Given: \( x \) and \( 48^\circ \)
\[
x + 48^\circ = 180^\circ
\]
\[
x = 180^\circ - 48^\circ = 132^\circ
\]
Answer: \( x = 132^\circ \)

4. Given: \( x \) and \( 150^\circ \)
\[
x + 150^\circ = 180^\circ
\]
\[
x = 180^\circ - 150^\circ = 30^\circ
\]
Answer: \( x = 30^\circ \)

5. Given: \( x \) and \( 145^\circ \)
\[
x + 145^\circ = 180^\circ
\]
\[
x = 180^\circ - 145^\circ = 35^\circ
\]
Answer: \( x = 35^\circ \)

6. Given: \( x \) and \( 90^\circ \)
\[
x + 90^\circ = 180^\circ
\]
\[
x = 180^\circ - 90^\circ = 90^\circ
\]
Answer: \( x = 90^\circ \)

7. Given: \( x \) and \( 75^\circ \)
\[
x + 75^\circ = 180^\circ
\]
\[
x = 180^\circ - 75^\circ = 105^\circ
\]
Answer: \( x = 105^\circ \)

8. Given: \( x \) and \( 130^\circ \)
\[
x + 130^\circ = 180^\circ
\]
\[
x = 180^\circ - 130^\circ = 50^\circ
\]
Answer: \( x = 50^\circ \)

Final Answers:

\[
\boxed{155, 132, 30, 35, 90, 105, 50}
\]