No, problem 1 was 55° and problem 2 was 95°

Let's correct the solutions based on the provided angles:

### Problem 1:
Given angle: \( 55^\circ \)

Since the angles on a straight line are supplementary, we find the other angle \( x \) as follows:

\[
x = 180^\circ - 55^\circ = 125^\circ
\]

### Problem 2:
Given angle: \( 95^\circ \)

Since the lines intersect and form vertical angles, the angle opposite to \( 95^\circ \) is also \( 95^\circ \). The adjacent angles are supplementary, so the other angle \( x \) is calculated as:

\[
x = 180^\circ - 95^\circ = 85^\circ
\]

**Summary of the Results:**
1. **Problem 1:** The unknown angle is \( 125^\circ \).
2. **Problem 2:** The unknown angle is \( 85^\circ \).

Do you have any questions or need further clarification?

### Related Questions
1. How do you find the complementary angle of a given angle?
2. What is the definition of vertical angles?
3. How do you calculate the sum of interior angles in a polygon?
4. What is the angle sum property of a triangle?
5. How can you determine if two lines are parallel?
6. What are alternate exterior angles?
7. What is the difference between an acute angle and an obtuse angle?
8. How do you find the measure of an angle formed by two intersecting lines?

**Tip:** When working with intersecting lines, remember that vertical angles are always equal, and adjacent angles are supplementary. This can help quickly identify angle measures.

Discover how to solve angle problems involving 55° and 95° with clear explanations and step-by-step solutions. Understand supplementary angles and vertical angles in geometry. Suitable for students in Grades 6-8.

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