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I see you've uploaded a worksheet related to "Pre-AP Algebra 1" under the topic of angle addition. Let me help you solve the problems step-by-step based on what's visible.

### Problem 1:
- Given:
  \[
  m∠MKL = 83°, m∠JKL = 127°, m∠JKM = (9x - 10)°
  \]
- You are tasked with finding the value of \( x \).

1. **Approach:**
   \[
   m∠MKL + m∠JKM = m∠JKL
   \]
   Substituting the known values:
   \[
   83° + (9x - 10)° = 127°
   \]

2. **Solve for \( x \):**
   \[
   73 + 9x = 127 \quad \text{(simplifying \( 83 - 10 \))}
   \]
   \[
   9x = 127 - 73
   \]
   \[
   9x = 54 \quad \Rightarrow \quad x = 6
   \]

### Problem 2:
- Given:
  \[
  m∠EFH = (5x + 1)°, m∠HFG = 62°, m∠EFG = (18x + 11)°
  \]
  Find \( x \).

1. **Approach:**
   \[
   m∠EFH + m∠HFG = m∠EFG
   \]
   Substituting the known values:
   \[
   (5x + 1) + 62 = (18x + 11)
   \]
   
2. **Solve for \( x \):**
   \[
   5x + 63 = 18x + 11
   \]
   \[
   63 - 11 = 18x - 5x
   \]
   \[
   52 = 13x \quad \Rightarrow \quad x = 4
   \]

### Problem 3:
- Given:
  \[
  m∠RST = (12x - 1)°, m∠RSU = (9x - 15)°, m∠UST = 53°
  \]
  Find each measure.

1. **Approach:** 
   Use the fact that:
   \[
   m∠RST + m∠UST = m∠RSU
   \]
   Substituting:
   \[
   (12x - 1) + 53 = (9x - 15)
   \]
   
2. **Solve for \( x \):**
   \[
   12x + 52 = 9x - 15
   \]
   \[
   12x - 9x = -15 - 52
   \]
   \[
   3x = -67 \quad \Rightarrow \quad x = -\frac{67}{3}
   \]
   We need to compute this more precisely if required.

### Problem 4:
- Given:
  \[
  m∠WXZ = (5x + 3)°, m∠ZXY = (8x - 4)°, \text{and} ∠WXY \text{ is a right angle (90°)}
  \]
  Find \( x \).

1. **Approach:**
   Since \( m∠WXZ + m∠ZXY = 90° \):
   \[
   (5x + 3) + (8x - 4) = 90
   \]
   
2. **Solve for \( x \):**
   \[
   13x - 1 = 90
   \]
   \[
   13x = 91 \quad \Rightarrow \quad x = 7
   \]

### Problem 5:
- Given:
  \[
  m∠CDF = (3x + 14)°, m∠FDE = (5x - 2)°, m∠CDE = (10x - 18)°
  \]
  Find each measure.

1. **Approach:**
   Use angle addition:
   \[
   m∠CDF + m∠FDE = m∠CDE
   \]
   Substituting:
   \[
   (3x + 14) + (5x - 2) = (10x - 18)
   \]
   
2. **Solve for \( x \):**
   \[
   8x + 12 = 10x - 18
   \]
   \[
   12 + 18 = 10x - 8x
   \]
   \[
   30 = 2x \quad \Rightarrow \quad x = 15
   \]

Let me know if you'd like further clarifications on any part!

### Relative Questions:
1. What are the properties of angles in a triangle?
2. How do supplementary and complementary angles differ?
3. How do you solve equations with variables on both sides?
4. Can two angles with different expressions still be equal?
5. How does algebra apply to geometry in angle addition?

**Tip:** When solving for angles, always double-check whether they are part of a supplementary, complementary, or specific geometric figure (like a right angle).

Solve angle addition problems for the given geometric figures by finding the value of x and determining angle measures.

Step-by-step solutions to angle addition problems, including solving for x and finding angle measures using the Angle Addition Postulate. Learn how to approach problems with supplementary angles and right-angle properties.

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