Complete the following proofs.

R, S, T, Q on circle O

Prove m RS + m ST + m TQ = m RQ

T Q Prove: m RS + m ST + mTQ = m RO STATEMENT REASON ....... E....... MRS + MST = MRT E... MRT + mTQ = MRQ E..... Points R, S,T, Qon circle Of Im RS + MST + mTO = m RO Given arc addition substitution arc AB = arc CD PA . PC = PA .PD m _1 = mZ2 altitude is geometric mean m _1 = mAB , m_2 =m CD Central