AC-tangent, AB-chord of a circle centered at point O, angle AOB = 146 degrees. Find the BAC angle.
| June 26, 2021 | education
Triangle AOB is isosceles, since OA and OB are circle radii.
Then the angle BAO = BAO = (180 – AOB) / 2 = (180 – 146) / 2 = 34/2 = 17.
By the property of a tangent drawn to a circle, the radius drawn to the tangent from the center of the circle is perpendicular to the tangent. Then the angle CAO = 90.
Angle BAC = CAB – BAO = 90 – 17 = 63.
Answer: The BAC angle is 63.
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.
