Question

Line AB ∥ line CD ∥ line EF and line PQ is their transversal. If y:z = 3:2then find the

measure of ∠.​

Answer 1

Answer:

y : z = 3 : 7 [Given]

Let the common multiple be m

∴ ∠j = 3m and ∠z = 7m ….(i)

line AB || line EF and line PQ is their transversal [Given] ∠x = ∠z

∴ ∠x = 7m …..(ii) [From (i)]

line AB || line CD and line PQ is their transversal [Given]

∠x + ∠y = 180°

∴ 7m + 3m = 180°

∴ 10m = 180°

∴ m = 18°

∴ ∠x = 7m = 7(18°) [From (ii)]

∴ ∠x = 126°

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