Question

Line AB ll line CD ll line EF and line QP is their transversal. If y:z=3:7 then find the measure of angle X​

Answer 1

Step-by-step explanation:

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°