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

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asked Jan 14, 2023 103k views

1 Answer

Gavin Mogan · Answer 1 · 2023-01-20T13:36:37+0000

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)