https://file.aiquickdraw.com/mathbot/file/1726832915807wh0i6939.jpg

The question in the image asks:

**"Draw a picture of two intersecting lines forming 4 angles. If one of the angles measures 107°, what is the measure of the vertical and adjacent angle?"**

### Explanation:

When two lines intersect, they form 4 angles. The key geometric properties of intersecting lines are:
1. **Vertical angles** are equal. These are the angles directly opposite each other when two lines intersect.
2. **Adjacent angles** are supplementary, meaning they sum to 180°.

### Solution:
- Given: One of the angles is 107°.
- The **vertical angle** is directly opposite and will also measure **107°** because vertical angles are equal.
- The **adjacent angle** is supplementary to 107°, so we can find it by subtracting 107° from 180°:
  \[
  180° - 107° = 73°
  \]
Thus, the adjacent angle is **73°**.

### Summary:
- Vertical angle: **107°**
- Adjacent angle: **73°**

Would you like me to draw a picture of these intersecting lines with labeled angles?

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Here are some related questions for further exploration:
1. What are the properties of supplementary and complementary angles?
2. How do you identify vertical and adjacent angles in a complex figure?
3. Can two adjacent angles ever be equal? If so, when?
4. How do you calculate unknown angles in a quadrilateral using intersecting lines?
5. What is the relationship between angles formed by parallel lines and a transversal?

**Tip:** Always remember that vertical angles are congruent and adjacent angles are supplementary when dealing with intersecting lines.

Draw a picture of two intersecting lines forming 4 angles. If one of the angles measures 107°, what is the measure of the vertical and adjacent angle?

Understand how to calculate vertical and adjacent angles when two lines intersect. This problem involves finding angles formed by intersecting lines, using properties of vertical angles and supplementary angles. Ideal for Grades 6-8.

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