https://file.aiquickdraw.com/mathbot/file/1725591933399k4gv27of.jpg

The problem shown in the image states:

"Two angles are complementary. One angle is 6° less than the other angle. Find the measures of the angles."

### Solution:
- Let the larger angle be \( x \).
- The smaller angle will be \( x - 6 \) because it's 6 degrees less than the larger angle.
  
Since the two angles are complementary, their sum is 90°:

\[
x + (x - 6) = 90
\]

Now, solve for \( x \):

\[
2x - 6 = 90
\]
\[
2x = 96
\]
\[
x = 48
\]

The larger angle is 48°, and the smaller angle is:

\[
x - 6 = 48 - 6 = 42
\]

### Answer:
- The smaller angle is **42°**.

Would you like further details or have any questions? 

Here are 5 related questions:
1. What are supplementary angles?
2. How do you solve for an angle if it's given as a fraction of another angle?
3. What happens when two angles are congruent?
4. How do you find the third angle in a triangle when two are given?
5. Can complementary angles be obtuse?

**Tip:** Complementary angles always add up to 90°, so if you know one angle, you can easily find the other by subtracting from 90.

Two angles are complementary. One angle is 6° less than the other angle. Find the measures of the angles.

Learn how to solve for two complementary angles where one angle is 6° less than the other. This problem involves solving linear equations and applying the Complementary Angle Theorem. Suitable for students in Grades 6-8.

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