If ray OC stands on line Ab such that ∠AOC = ∠COB, then show that ∠AOC= 90°

Match the items on the right to the items on the left.

step 1

step 2

step 3

step 4

step 5

Since ray OC stands on line AB, ∠AOC+ ∠COB= 180° (linear pair) ----->1

∠AOC= ∠COB ---->2

∠AOC+ ∠AOC= 180°

2∠AOC= 180°

∠AOC= 90°