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Proof of the Circle Theorems

Hard
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Question 1
39%

P,Q,R P, Q, R\,P,Q,R and S S\,S are points on the circumference of a circle with centre MMM.

Prove that the opposite angles PQR PQR\,PQR and PSR PSR\,PSR in the cyclic quadrilateral PQRS PQRS\,PQRS sum to 180∘180^\circ180∘.

[4]

Proof of the Circle Theorems Questions

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