The angle between the two radii is 150 degrees. Determine the angle between the tangents drawn
| January 12, 2021 | education
The angle between the two radii is 150 degrees. Determine the angle between the tangents drawn through the edges of these radii.
Consider a quadrilateral ACВO, in which the angles СAO and CBO are straight, since AC and BC are tangent to the circle, and OA and OB are the radii of the circle, which are perpendicular to the tangents at the point of tangency.
Then the angle ACB = 380 – 90 – 90 – 150 = 30.
Answer: The angle between tangents is 30.
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