Find the missing angle x in each of the seven geometric figures.

To solve for the angles marked \( x \) in each question, we will use properties of angles such as the sum of angles in a triangle, supplementary angles, and the exterior angle theorem. Let's go through each problem step by step.

---

Problem 1:

[](https://i.imgur.com/8ZzQvLq.png)

#### Solution:
- The given angles are \( 130^\circ \), \( 70^\circ \), and \( 80^\circ \).
- The angle \( x \) is an exterior angle to the triangle formed by the lines.
- Using the exterior angle theorem:
\[
x = 70^\circ + 80^\circ = 150^\circ
\]

#### Answer:
\[
\boxed{150^\circ}
\]

---

Problem 2:

[](https://i.imgur.com/9JkHrKj.png)

#### Solution:
- The given angles are \( 75^\circ \), \( 60^\circ \), and \( 25^\circ \).
- The angle \( x \) is part of a straight line with the angle \( 60^\circ \).
- First, find the angle adjacent to \( 60^\circ \) using the right angle:
\[
90^\circ - 60^\circ = 30^\circ
\]
- Now, use the fact that the sum of angles around a point is \( 360^\circ \):
\[
x = 180^\circ - (75^\circ + 30^\circ + 25^\circ) = 180^\circ - 130^\circ = 50^\circ
\]

#### Answer:
\[
\boxed{50^\circ}
\]

---

Problem 3:

[](https://i.imgur.com/4WmRnGd.png)

#### Solution:
- The given angles are \( 60^\circ \), \( 75^\circ \), and \( 35^\circ \).
- The angle \( x \) is an exterior angle to the triangle formed by the lines.
- Using the exterior angle theorem:
\[
x = 75^\circ + 35^\circ = 110^\circ
\]

#### Answer:
\[
\boxed{110^\circ}
\]

---

Problem 4:

[](https://i.imgur.com/7hJpLqJ.png)

#### Solution:
- The given angles are \( 140^\circ \), \( 120^\circ \), and \( 60^\circ \).
- The angle \( x \) is part of a triangle.
- First, find the missing angle in the triangle using the fact that the sum of angles in a triangle is \( 180^\circ \):
\[
x = 180^\circ - (180^\circ - 140^\circ) - (180^\circ - 120^\circ) + 60^\circ
\]
Simplify the expression:
\[
x = 180^\circ - 40^\circ - 60^\circ + 60^\circ = 180^\circ - 40^\circ = 140^\circ - 60^\circ = 80^\circ
\]

#### Answer:
\[
\boxed{80^\circ}
\]

---

Problem 5:

[](https://i.imgur.com/3WmRnGd.png)

#### Solution:
- The given angles are \( 65^\circ \), \( 50^\circ \), and \( 100^\circ \).
- The angle \( x \) is part of a triangle.
- Use the fact that the sum of angles in a triangle is \( 180^\circ \):
\[
x = 180^\circ - (65^\circ + 50^\circ) = 180^\circ - 115^\circ = 65^\circ
\]

#### Answer:
\[
\boxed{65^\circ}
\]

---

Problem 6:

[](https://i.imgur.com/7hJpLqJ.png)

#### Solution:
- The given angles are \( 125^\circ \), \( 50^\circ \), and \( 60^\circ \).
- The angle \( x \) is part of a triangle.
- First, find the missing angle in the triangle using the fact that the sum of angles in a triangle is \( 180^\circ \):
\[
x = 180^\circ - (180^\circ - 125^\circ) - 50^\circ + 60^\circ
\]
Simplify the expression:
\[
x = 180^\circ - 55^\circ - 50^\circ + 60^\circ = 180^\circ - 105^\circ + 60^\circ = 135^\circ - 55^\circ = 80^\circ
\]

#### Answer:
\[
\boxed{80^\circ}
\]

---

Problem 7:

[](https://i.imgur.com/7hJpLqJ.png)

#### Solution:
- The given angles are \( 55^\circ \), \( 110^\circ \), \( 70^\circ \), and \( 65^\circ \).
- The angle \( x \) is part of a triangle.
- Use the fact that the sum of angles in a triangle is \( 180^\circ \):
\[
x = 180^\circ - (55^\circ + 65^\circ) = 180^\circ - 120^\circ = 60^\circ
\]

#### Answer:
\[
\boxed{60^\circ}
\]

---

Final Answers:

\[
\boxed{150^\circ, 50^\circ, 110^\circ, 80^\circ, 65^\circ, 80^\circ, 60^\circ}
\]