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Let's go through the questions step by step and provide the correct answers:

**7. Which of the following pairs of angles add up to 90°?**
- **b. Complementary angles**  
Complementary angles are two angles whose measures sum to 90°.

**8. What type of angles are formed when two lines intersect and share a common vertex but do not overlap?**
- **d. Supplementary angles**  
Supplementary angles form when two angles add up to 180°, which happens when two lines intersect.

**9. In a linear pair, the angles add up to:**
- **b. 180°**  
A linear pair consists of two adjacent angles whose non-common sides form a straight line, adding up to 180°.

**10. Which of the following best describes a convex polygon?**
- **b. All of its interior angles are less than 180°.**  
In a convex polygon, no interior angle exceeds 180°, and all vertices point outward.

**11. What distinguishes a non-convex (concave) polygon from a convex polygon?**
- **c. It has at least one interior angle greater than 180°.**  
A concave polygon has at least one interior angle greater than 180°, causing a "caved-in" appearance.

**12. What is the measure of the missing angle in the pentagon at the right?**
Sum of interior angles of a pentagon = \( (5 - 2) \times 180° = 540° \).  
Adding the given angles:  
\( 121° + 130° + 104° + 85° = 440° \).  
Missing angle \( = 540° - 440° = 100° \).  
- **a. 163°** seems incorrect; should be **100°**.

**13. Find the value of \( x \) in the given triangle on the right.**
The sum of angles in a triangle is always 180°.  
Given angles are \( 35° \) and \( 128° \), so:  
\( 180° - (35° + 128°) = 17° \).  
- **a. 17**

**14. If the measures of the first two angles of a triangle are 44° and 95° respectively, what is the measure of the third angle?**
Sum of angles in a triangle is 180°.  
Third angle \( = 180° - (44° + 95°) = 41° \).  
- **c. 41°**

**15. What is the sum of the measures of the interior angles of a tile, which is in the shape of a pentagon?**
Sum of interior angles of a pentagon = \( (5 - 2) \times 180° = 540° \).  
- **a. 540°**

**16. In Figure 1, \( m \angle \omega = 156° \) and \( m \angle n = 85° \). Find \( m \angle p \).**
The sum of angles in a triangle is 180°.  
\( m \angle p = 180° - (156° - 85°) = 119° \).  
- **c. 119°**

Would you like more details on any of these answers?  

### Here are 5 relative questions to expand your understanding:
1. How do you calculate the sum of interior angles for polygons with more than five sides?
2. What is the difference between complementary and supplementary angles?
3. How can you determine if a polygon is convex or concave based on its interior angles?
4. What is the relationship between adjacent and vertical angles?
5. How do linear pairs relate to the concept of supplementary angles?

### Tip:  
Always remember that the sum of interior angles for an \( n \)-sided polygon is given by \( (n-2) \times 180° \).

Various math problems involving angles, polygons, and triangle properties.

Explore a variety of geometry problems related to angles, triangles, and polygons. Learn about complementary and supplementary angles, the properties of convex and concave polygons, and how to calculate missing angles in triangles. Suitable for students in Grades 7-9.

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