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The problem states that ∠J and ∠K are complementary angles. The measure of ∠J is 18 degrees less than the measure of ∠K. We are tasked with finding the measure of each angle.

### Steps to Solve:

1. **Definition of Complementary Angles**: The sum of the measures of complementary angles is 90 degrees.
   \[
   \text{∠J} + \text{∠K} = 90
   \]

2. **Expression for ∠J**: The measure of ∠J is 18 degrees less than ∠K.
   \[
   \text{∠J} = \text{∠K} - 18
   \]

3. **Substitute the expression for ∠J into the first equation**:
   \[
   (\text{∠K} - 18) + \text{∠K} = 90
   \]

4. **Simplify and solve for ∠K**:
   \[
   2\text{∠K} - 18 = 90
   \]
   \[
   2\text{∠K} = 108
   \]
   \[
   \text{∠K} = 54
   \]

5. **Find ∠J**: Substitute the value of ∠K into the expression for ∠J:
   \[
   \text{∠J} = 54 - 18 = 36
   \]

### Final Answer:
- ∠J = 36°
- ∠K = 54°

Would you like more details or have any questions? Here are some related problems:

1. If ∠J was 10 degrees less than ∠K, what would be the measures of the angles?
2. How would the solution change if the angles were supplementary (summing to 180°)?
3. If ∠K was three times ∠J, how would you set up the equation?
4. What happens if ∠J and ∠K were equal? What would be their measures?
5. How do complementary angles differ from supplementary angles?

**Tip**: Always express one unknown in terms of the other to simplify solving equations with relationships like "less than" or "greater than."

∠J and ∠K are complementary angles. The measure of ∠J is 18 less than the measure of ∠K. Find the measure of each angle.

Discover how to find the measures of complementary angles ∠J and ∠K, where ∠J is 18 degrees less than ∠K. This problem involves understanding complementary angles and solving linear equations, suitable for students in Grades 6-8.

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