Answer:
[tex]36° = m∠UST[/tex]
Step-by-step explanation:
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PS is a segment bisector [∠S is an angle bisector] of ∠UPS and ∠TPS, so set both expressions equal to each other:
3x + 6 = 5x - 2
-5x - 5x
___________
−2 = −2x + 6
- 6 - 6
__________
−8 = −2x
__ ___
−2 −2
4 = x [Plug this back into both expressions above to get both the m∠2 and m∠1 at 18°.]
* Then you have to double up 18° to get 36°, the m∠UST.
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