MHB Using Angles on the Same Arc Theorem

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The discussion focuses on applying the angles on the same arc theorem in a geometric context. Participants suggest drawing lines AL and BC to analyze the triangle BCD. An external angle, angle CBL, is identified as the sum of the two opposite angles. The conversation emphasizes visualizing the relationships between the angles to understand the theorem better. Ultimately, the theorem is confirmed as applicable in the given scenario.
markosheehan
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View attachment 6471im trying to use angles on the same arc theorem
 

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markosheehan said:
im trying to use angles on the same arc theorem
Yes, the same arc theorem will certainly come into it. I suggest that you draw the lines $AL$ and $BC$ in the diagram, and then look for an external angle of the triangle $BCD$.
 
sadly i still can't see it... I've drawn these lines. all i can see now is angleCAL and angleCBL
 
markosheehan said:
sadly i still can't see it... I've drawn these lines. all i can see now is angleCAL and angleCBL
That's right! Angle $CBL$ is an external angle of the triangle $BCD$, so it is the sum of the two opposite angles.
 
see it now
 

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