Using Angles on the Same Arc Theorem

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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.