Question

Прямая касается окружности в точке К . точка О центр окружности. хорда КМ образует с касательной угол равный 30 градусов.Найдите велечину угла ОМК.ответ дайте в градуса

Answer 1

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Answer 2

Finding the Angle OMK

To find the angle OMK, we can use the fact that the angle between a tangent and a chord is equal to half the angle subtended by the chord in the alternate segment. Given that the angle between the chord KM and the tangent is 30 degrees, we can calculate the angle OMK.

Using the given information, we can calculate the angle OMK as follows:

Step 1: The angle between the chord KM and the tangent is 30 degrees.

Step 2: The angle subtended by the chord in the alternate segment is twice the angle between the chord and the tangent.

Step 3: Therefore, the angle OMK is equal to twice the angle between the chord and the tangent, which is 60 degrees.

Hence, the angle OMK is 60 degrees.

This calculation is based on the geometric relationship between tangents and chords in a circle, as described in the search result snippets.

If you have any further questions or need additional assistance, feel free to ask!