Point O is the center of the circle, ∠ACB = 25 °. Find the angle AOB
| May 31, 2020 | Education
By condition ∠ACB = 25 °, this angle is an inscribed angle and is equal to half of the arc on which it relies (by the inscribed angle theorem).
Therefore, the degree measure of the arc, in our task, is 25 ° * 2 = 50 °.
∠AOB is central and equal to the degree measure of the arc, on which, therefore, ∠AOB = 50 °.
Answer: ∠AOB = 50 °.
Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.