Question

find the measure of angle​

Answer 1

Answer:

60°

Step-by-step explanation:

We know that angle ∠OAN=90° (radius is perpendicular to tangent)

Also,∠OAC=∠OCA(radii are equal)

∠CAN=∠OAC/2

∠OAC+∠CAN=90°

∠OAC+(∠OAC/2)=90°

3∠AOC=180°

∠AOC=60°

Now, In∆AOC,

∠AOC+∠OAC+∠OCA=180°

60°+2∠OCA=180°

2∠OCA=120°

∠OCA=60°