Q:

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.

Accepted Solution

A:
Answer:[tex]36° = m∠UST[/tex]Step-by-step 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 −24 = 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.