MHB Finding Angle at $\gamma$ - Help Requested

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To determine the angle at $\gamma$, the vertical angles theorem is suggested, but it may not directly apply if $\gamma$ is perceived as part of a circle's edge. The user expresses confusion, indicating that $\gamma$ should represent the angle formed by two intersecting lines rather than a segment of the circle. Clarification is sought on how to accurately calculate this angle. The discussion emphasizes the need for a clear understanding of angle definitions in relation to geometric figures. Overall, the conversation highlights the importance of correctly identifying the components involved in angle measurement.
Carla1985
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Hi,

could someone please tell me what theorem I need to be looking at to work out the angle at $\gamma$ please? I've worked out the rest but can't find a theorem for this one.

Thanks
 

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Use the vertical angles theorem.
 
Euge said:
Use the vertical angles theorem.

Thanks but that just gives me the angle between the two straight lines. My impression was that $\gamma$ was the part of the angle up to the edge of the circle.
 
That would not make an angle, for an angle is formed by two straight lines. It would only make sense for $gamma$ to be the angle between those two lines.
 
Euge said:
That would not make an angle, for an angle is formed by two straight lines. It would only make sense for $gamma$ to be the angle between those two lines.

That would make things a whole lot easier. Thank you for your help!
 

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