Question

2. 3) Given O is the centre of the circle. Complete the table by observing the figure. Rpotq Chord​

Answer 1

Answer:

O is the centre of the circle. 

chord PQ≅ chord RS (Given) 

⇒ arc PQ≅  arc RS (Correspondidng arcs of congruent chords of a circle are congruent) 

⇒m(arcPQ)=m(arcRS) 

⇒m(arcPQ)=80o   [m(arcRS)=80o] 

(1) m(arcPR)=∠POR=70o(Measure of a minor arc is the measure of its central angle) 

(2) m(arcPR)+m(arcPQ)+m(arcQS)+m(arcRS)=360o

⇒70o+80o+m(arcQS)+80o=3600 

⇒m(arcQS)=360o−230o=130o 

(3) m(arcQSR)=m(arcQS)+m(arcRS)=130o+80o=210o

Step-by-step explanation:

I hope it will help you.

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