https://file.aiquickdraw.com/mathbot/file/1730217392311cpave42d.jpg

Ashley draws two angles shown.
 


If angles JKL and LKM are complementary, what is the value of x?
A.68
B.22
C.9
D.8

In the diagram, we are given two angles:  
- \(\angle JKL = (6x + 14)^\circ\)  
- \(\angle LKM = 22^\circ\)  

These angles are complementary, meaning their sum is \(90^\circ\). Thus, we can write the equation:

\[
(6x + 14)^\circ + 22^\circ = 90^\circ
\]

### Step 1: Combine like terms.
\[
6x + 14 + 22 = 90
\]
\[
6x + 36 = 90
\]

### Step 2: Subtract 36 from both sides.
\[
6x = 90 - 36
\]
\[
6x = 54
\]

### Step 3: Divide both sides by 6.
\[
x = \frac{54}{6} = 9
\]

The value of \(x\) is:

\[
\boxed{9}
\]

Thus, the correct answer is **C. 9**.

Would you like further details or explanations?  
Here are 5 related questions for deeper understanding:
1. What does it mean for two angles to be complementary?
2. How do we solve for unknown variables in linear equations?
3. What are some real-life examples where complementary angles occur?
4. How would the solution change if the two angles were supplementary instead?
5. How can we verify that our solution is correct after solving for \(x\)?

**Tip:** Always double-check your solution by substituting your value of \(x\) back into the equation to ensure the angles sum to the correct total.

If angles JKL and LKM are complementary, what is the value of x? A.68 B.22 C.9 D.8

Determine the value of x when angles JKL and LKM are complementary. Given angle JKL = (6x + 14)° and angle LKM = 22°, this problem involves solving a linear equation to find x. Suitable for students in Grades 7-9.

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