Question

IXL Transversals of parallel lines: prove angle relationships 6QF for geometry, please help

Answer 1

4)
`m\angle XWY=m\angle HGY` (definition of congruent angles)

5)
`\angle HGY \cong \angle GTU` (corresponding angles theorem)

6)
`m\angle HGY=m\angle GTU` (definition of congruent angles)

7)
`\angle GTU` and
`\angle UTR` are supplementary (linear pair)

8)
`m\angle GTU+m\angle UTR=180^(\circ)` (definition of supplementary angles)

9)
`m\angle HGY+m\angle UTR=180^(\circ)` (substitution)

10)
`m\angle RTU+m\angle XWY=180^(\circ)` (substitution)