The angle AOK is the right angle POC a is 54 degrees and the angle COK is unfolded. Calculate the AOP angle?

When solving the problem, 2 options are possible.
1 solution to the problem.
Beam OP is located inside the angle СOA, then the angle СOA is equal to the difference between the angles of the COA and AOC:
180 ° – 90 ° = 90 °.
And the AOP angle is equal to the difference between the COA and COP angles:
90 ° – 54 ° = 36 °.
Answer: The AOP angle is 36 °.

2 solution.
Beam OP is outside the angle of OA, then the angle of OA is equal to the difference between the angles of СOK and AOK:
180 ° – 90 ° = 90 °.
And the AOP angle is equal to the sum of the СOA and COP angles:
90 ° + 54 ° = 144 °.
Answer: The AOP angle is 144 °.