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Question
Find the value of 𝑥 and 𝑦 if RS is parallel to PQ.
Find the value of 𝑥 and 𝑦 if RS is parallel to PQ.
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Solution
Since RS || PQ, ST can be considered as a transversal.
Therefore, ∠QOU = ∠SRO (corresponding angles)
⇒ y = 25°
Similarly, ST is a transversal to the parallel line RS and PQ.
Therefore, ∠POT = ∠RSO (corresponding angles)
⇒ x = 40°
Since RS || PQ, ST can be considered as a transversal.
Therefore, ∠QOU = ∠SRO (corresponding angles)
⇒ y = 25°
Similarly, ST is a transversal to the parallel line RS and PQ.
Therefore, ∠POT = ∠RSO (corresponding angles)
⇒ x = 40°
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