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In the given figure, Line AB || line CD || line EF and line QP is their transversal. If y : z = 3 : 7 then find the measure of ∠x. |
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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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