Explanation:
So if segment QS and segment PR are equal then all parts are equal which means segment QT= segment PT, segment TR= segment TS. segment QS id equal to 12 which means segment PR is equal to 12. You get segment TR by subtracting 4.9 from 12. Now you know that segment TR is 7.1 which means that segment TS is 7.1.
You also know that segment PS is equal to segment QR so you know that segment QR is 9cm because segment PS is 9cm.
m∠QPR is 33° because you know that ΔQPR's sum is 180 and you know that ∠PQR is 114° b/c 44+70 is 144, 180-144=66 now you take 66 and divide it by 2 (for the two angles left) that equals 33.
m∠STR is 92°. You know this by taking the base angle in ΔPTQ and multiplying it by two (which now equals 88, the base angle is 44°) and you take this number and subtract it from 180. 180-88=92. 92 is you measure of angle STR.