plz solve this question in easy steps
Answers
Answer:
Given: ∠a ≅ ∠b and ∠x ≅ ∠y To prove: line l | line n Proof: ∠a = ∠b [Given] But, ∠a and ∠b are corresponding angles on lines l and m when line k is the transversal. ∴ line l || line m ….(i) [Corresponding angles test] ∠x ≅ ∠y [Given] But, ∠x and ∠y are alternate angles on lines m and n when seg PQ is the transversal, ∴ line m || line n ……(ii) [Alternate angles test] ∴ From (i) and (ii), line l || line m || line n i.e., line l || line n
Answer:
Answer:
Answer:Given: ∠a ≅ ∠b and ∠x ≅ ∠y To prove: line l | line n Proof: ∠a = ∠b [Given] But, ∠a and ∠b are corresponding angles on lines l and m when line k is the transversal. ∴ line l || line m ….(i) [Corresponding angles test] ∠x ≅ ∠y [Given] But, ∠x and ∠y are alternate angles on lines m and n when seg PQ is the transversal, ∴ line m || line n ……(ii) [Alternate angles test] ∴ From (i) and (ii), line l || line m || line n i.e., line l || line n