Answer:
(C) 270
Explanation:
Given: In the circle P, ∠TPB=90° and ∠TPC=128°.
To find: mTCB in circle P.
Solution: It is given that In the circle P, ∠TPB=90° and ∠TPC=128°, then
(sum of the minor and the major arc is 360°)
⇒

⇒

⇒

Thus, the measure of arcTCB is 270°, hence option C is correct.