Given: line TS, AR, ER and aS, m angle CST = 65, and m angle CRS = 58
Find the measure of the following angles:
6. angle C
7. angle A
8 angle AST
9 angle CTS
10 angle RTS
11 angle ETR
12 angle E
13 angle R

To solve for the measures of the angles in this problem, I'll need to use the information given, such as the angles and relationships between the lines and points. However, the problem's description is incomplete for direct computation since I don't know the exact geometric setup (whether these lines form triangles, intersect, or are parallel).

Here is a possible step-by-step approach for solving each angle, but I'll need clarification on the geometric relationships:

### Step-by-Step:

1. **m∠CST = 65° and m∠CRS = 58° are given:**
   These are the starting angles, and they likely correspond to some type of geometric figure (perhaps a triangle or some intersecting lines). 

2. **6. m∠C:**
   - To find this, I would need to know whether angle C is part of a triangle or how it relates to the other angles given. Could you clarify its location and relation to the other points?

3. **7. m∠A:**
   - Similarly, this requires understanding whether angle A belongs to a triangle or a different geometric shape. If we are dealing with a triangle and know two other angles, we could subtract from 180° to find the missing angle.

4. **8. m∠AST:**
   - To determine the measure of ∠AST, I need more information on how the points A, S, and T are connected (for example, whether they form part of a triangle or another shape).

5. **9. m∠CTS:**
   - If this angle is part of a triangle or adjacent to other known angles, it can be computed, but I’ll need to know how line segments TS and CT interact geometrically

Given: line TS, AR, ER and aS, m angle CST = 65, and m angle CRS = 58. Find the measure of the following angles: 6. angle C, 7. angle A, 8. angle AST, 9. angle CTS, 10. angle RTS, 11. angle ETR, 12. angle E, 13. angle R.

Solve this geometry problem where you are tasked with finding the measures of several angles based on given data points. Explore key geometric concepts like angle measurement, the Triangle Sum Theorem, and the Vertical Angle Theorem. Suitable for students in Grades 8-10.

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