Math, asked by danish1468, 1 year ago

in the trapezium PQRS.PQ// RS and p=70° and Q=80°,then find s​

Answers

Answered by ritvik1410
0

where is "s" in this question?

Answered by siddi8808
3

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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