Answer:
![\overline{QP} = \overline{SR}](https://tex.z-dn.net/?f=%5Coverline%7BQP%7D%20%3D%20%5Coverline%7BSR%7D)
Step-by-step explanation:
Given: ∠PTQ ≅ ∠STR and TP, TQ, TR and TS are radii of the circle.
If two angle are equal, then they are equal in size and their measurements are equal.
IF ∠PTQ ≅ ∠STR then they are also equal in their measurements.
Now, In ΔPTQ and ΔSTR
∠PTQ ≅ ∠STR (vertically opposite angle)
(Radius of the circle are equal and congruent in length)
(Radius of the circle)
∴ ΔPTQ ≅ ΔSTR (SAS postulate)
∴
(corresponding sides of congruent triangle are equal and congruent).