in the trapezium PQRS.PQ// RS and p=70° and Q=80°,then find s
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where is "s" in this question?
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Answer:
Answer:
∠R=100° and ∠S=110°
Step-by-step explanation:
Given: PQRS is a trapezium, PQ║RS, ∠P=70° and ∠Q=80°
From the figure, If PQ║RS, then ∠P+∠S=180° (Pair of adjacent angles of a trapezium are supplementary)
⇒70°+∠S=180°
⇒∠S=180°-70°
⇒∠S=110°
Also, ∠Q and ∠R forms the adjacent angle pair, therefore their sum equals 180°, hence, ∠Q+∠R=180°
⇒80°+∠R=180°
⇒∠R=180°-80°
⇒∠R=100°
Hence, ∠R=100° and ∠S=110°
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