QS−→ bisects ∠PQR. If ∡PQS=3x and ∡RQS=2x+6,then what is ∡PQR ?

Answer 1

but you just said that
3 x = 2 x + 6
so
x = 6
then 3 x = 18 = 2x+6
and then 2 * 18 = 36
DRAW IT !!!

Answer 2

bisecting divides PQR into two EQUAL angles

∡PQS = ∡RQS ... 3x = 2x + 6 ... x = 6

∡PQR = ∡PQS + ∡RQS