In the given figure, O is the centre of a circle and ∠ABC = 45°. Prove that OA ⊥ OC.

Question

In the given figure, O is the centre of a circle and ∠ ABC = 45°. Prove that OA ⊥ OC.

Philoid · Accepted Answer

Given: ∠ABC = 45°

We know that ,

∠ AOC = 2×∠ABC

∠ AOC = 2×45 = 90°

∴ ∠AOC = 90°

Therefore

Hence proved.