Ray QR bisects PQM, where m PQR =3x-7 and m PQM = 4x+23. Find m RQM

Answer 1

Since QR bisects the angle, it is 1/2 of PQM. That is,
2(3x-7) = 4x+23
x = 18.5
So now you can calculate RQM, which is the same as PQR