SAT Practice8a0d3a20-6326-4fe6-a269-38ef70418956
Practice one SAT question at a time

Questions come from the Bluebook question bank.

  • From left to right, horizontal line segment upper P upper V includes the following points:
    • Upper P
    • Upper Q
    • Upper R
    • Upper S
    • Upper T
    • Upper V
  • Points upper X and upper U are each below line segment upper P upper V.
  • From left to right, the following 2 overlapping triangles are formed between points on line segment upper P upper V and points upper X and upper U:
    • Triangle upper Q upper X upper S
    • Triangle upper R upper U upper T
  • Line segments upper R upper U and upper S upper X intersect at point upper W.
  • A note indicates the figure is not drawn to scale.

In the figure shown, points Q , R , S , and T lie on line segment P V , and line segment R U intersects line segment S X at point W . The measure of ∠SQX is 48°, the measure of ∠SXQ is 86°, the measure of ∠SWU is 85°, and the measure of ∠VTU is 162°. What is the measure, in degrees, of ∠TUR? 

Use the exact value the question expects unless it says to round.