The problem is in the photo. i need to find the angle measure of ust if angle 1 is 5x-1 and angle 2 is 3x+6.

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

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−2 = −2x + 6

- 6 - 6

__________

−8 = −2x

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−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.

I am joyous to assist you anytime.

a. is correct