Q 2 Lines l and m are intersected by transversal n The measures of two angles are given - Maths - Lines and Angles

Question

Q 2 Lines l and m are intersected by transversal n The measures of
two angles are given in the figure Is l || m? Give reasons for your
answer

Varun Rawat · Accepted Answer

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Consider the line m
     ∠CO'O + ∠OO'D = 180°   Linear pair⇒118° + ∠1 = 180°⇒∠1 = 180° - 118° = 62°Now, ∠XOB = ∠OO'D = 62°But ∠XOB and ∠OO'D are corresponding angles made by lines AB and CD with the transversal n and are equal
So, l ∥ m

Q.2. Lines l and m are intersected by transversal n. The measures of two angles are given in the figure. Is l || m? Give reasons for your answer.