Two circles touch each other externally at T. Rs is a direct common tangent to the two circles touching the circles at P and Q. ∠TPQ = 42o.∠PQT (in degrees) is :

48` 45 42 60

48`

We know that, ∠QTP = 90° In ΔQPT, ∠QPT + ∠QTP + ∠PQT = 180° = 42° + 90° + ∠PQT = 180° = ∠PQT = 180° - 90° - 42° = 48°