Question

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.

Answer 1

`36° = m∠UST`

Explanation:

__

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.

I am joyous to assist you anytime.