Question

if two parallel lines are intersected by a transversal then bisectors of any pair of corresponding angles are parallel. Prove?

Answer 1

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Answer 2

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$<p style="color:blue;font-family:cursive;background:pink;font-size:30px;">Good Afternoon</p>$Given: AB and CD are two parallel lines andtransversal EF intersects then at G and H respectively. GM and HN are the bisectors oftwo corresponding angles ∠EGB and ∠GHD respectively. (∠1 & ∠2 are corresponding angles formed by transversal GH and GM and HN and are equal.) Hence, proved.