Math, asked by ayeshajung5, 7 months ago

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Answered by bishtsmita06
1

Answer:

since      OS,OP,OQ are radius

               OS=OP=OQ

now ,        In ΔROQ

                 OQ=QR

              ∠ORQ=∠ROQ

                ∠ROQ=20°  

                ∴∠ROQ=140°

                  ∠POQ=40°

                  In ΔPOQ

                   OP=OQ

             ∠POQ=∠QOP=40°

               ∴∠POQ=100°

Now,              ∠POS + ∠POQ + ∠QOR = 180°

                      ∠POS + 100 + 20 = 180°

                      ∴∠POS = 60°

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