1. In△PQR, PQ=PR. The angle bisector of ∠PQR meets PR at X. Given that CQXR =105°, calculate ∠QPR.
2. In △ABC, ∠ABC =22°and ∠CAB =112°. BC is produced to X and the angle ACX meets BA produced at Y. Find ∠AYC.
3. Four interior angles of a pentagon are 30°, 88°, 112° and 145°. Find the fifth angle.