Question

/AB/ is a chord of a circle and the tangent at A and B meet at T. C is a point at the minor arc AB. If ATB= 54, and CBT=23. Calculate CAT and draw the diagram

Answer 1

Answer:

According to the alternate segment theorem, angle between a tangent and a chord through a point of contact is equal to the angle in the alternate segment.

⟹∠TCB=∠CAB -eq.

Given CT∥AB

⟹∠TCB=∠CBA$ -eq.2

From eq.1 and eq.2

∠CAB=∠CBA

⟹CA=CB