
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the triangle $\triangle KLM$ we have $KL = KM$, $KT = KS$, and $\angle LKS = 30^{\circ}$. What is the measure of the angle $x = \angle TSM$?  
(a) $10^{\circ}$  
(b) $15^{\circ}$  
(c) $20^{\circ}$  
(d) $25^{\circ}$  
(e) $30^{\circ}$  

![Triangle diagram](https://cdn.mathpix.com/cropped/2024_05_01_280b19a87fa67143351eg-015.jpg?height=277&width=600&top_left_y=1689&top_left_x=1279)

Present the answer in LaTex format: \boxed{Your answer}
user