Question 75
In the given figure PQ|| RS, TR|| QU and ∠PTR=42∘. Find ∠QUR.
Since, PQ and Rs are parallel and TR is transversal,
Therefore,
∠PTR=∠TRU [alternate interior angles]⇒∠TRU=42∘
Now, TR is parallel to QU and RS is transversal.
Therefore, ∠TRU+∠RUQ=180∘ [consecutive interior angles]⇒42∘+∠RUQ=180∘⇒∠RUQ=180∘=180∘−42∘=138∘