Question

2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.


In the diagram, which angles form a linear pair? Select three options.

AngleRST and AngleRSV
AngleRST and AngleTSU
AngleRST and AngleVSU
AngleTSU and AngleUSV
AngleTSU and AngleRSV

Answer 1

Select: AngleRST and AngleRSV; AngleRST and AngleTSU; AngleTSU and AngleUSV.

Reason: R, S, U are collinear and V, S, T are collinear. A linear pair is two adjacent angles whose noncommon sides are opposite rays.
- RST & RSV share SR; ST and SV are opposite rays on the V–S–T line.
- RST & TSU share ST; SR and SU are opposite rays on the R–S–U line.
- TSU & USV share SU; ST and SV are opposite rays on the V–S–T line.