Question

i need answers plzz​

Answer 1

Answer:

∠RQT = 110°

∠RTQ = 45°

Step-by-step explanation:

∠RSP = 180° - (angle subtended by PT on arc PT opposite S)

         = 180° - (1/2) ∠POT

         = 180° - (1/2) × 140°

         = 180° - 70°

         = 110°

Triangle RPS and RTQ are similar.  [ RQ.RP = RT.RS by power of the point R ]

Therefore:

∠RQT = ∠RSP = 110°

∠RTQ = ∠RPS = 45°