AOK is straight, POS = 54 °, and COK is unfolded. calculate the value of the angle AOP.

univerkov | September 11, 2021 | education

∠ COK = 180 °, since the angle is unfolded according to the condition;

∠ АOK = 90 °, because by condition the angle of a straight line.

Find ∠ AOP:

∠ AOP = ∠ COK – ∠ AOK – ∠ COP.

Substitute the numerical values of the angles:

∠ AOP = 180 ° – 90 ° – 54 ° = 36 °

Answer: ∠ AOP = 36 °.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.