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Geometry problem - understanding triangles

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See attached pdf file for problem and diagram regarding angles.

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Solution Summary

The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.

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Please refer to the attached figure as you read on..

from the figure, Angle XAC = Angle ACF
This is using the fact that, a straight line falling on parallel straight lines makes the alternate angles equal to one another, ...

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