In the given figure, RS is the tangent to the circle at the point L and MN is the diameter. If $\angle NML = 30°$, then $\angle RLM$ is:

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Question

In the given figure, RS is the tangent to the circle at the point L and MN is the diameter. If $\angle NML = 30°$, then $\angle RLM$ is:

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Accepted Answer

Step 1: $\angle MLN = 90°$ (angle in semicircle). $\angle MNL = 180° - 90° - 30° = 60°$. $\angle RLM = \angle MNL = 60°$ (angle between tangent and chord equals angle in alternate segment).

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