Question

angle inscribed in a same arc are congruent : prove that​

Answer 1

i. arc PTR is intercepted by ∠PQR.

ii. arc PTR is intercepted by ∠PSR.

iii. ∠PQR = 1/2 m(arc PTR), and (i) [inscribed angle theorem]

∠PSR = 1/2 m(arcPTR) (ii) [Inscribed angle theorem]

∴ ∠PQR ≅ ∠PSR [From (i) and (ii)]

Hence proved✅