**Given:** C is the centre of circle. ∠PQR and ∠PSR are inscribed in same arc PTR.

**To prove:** ∠PQR ≅ ∠PSR

**Proof:**

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)]