prove that in a equilateral triangle A,B,C the angles are X,Y,Z, respectively prove that X+Y+Z=180
 

Dear Student, 
Kindly refer to the link for the similar query.
https://www.meritnation.com/ask-answer/question/q-to-verify-that-the-sum-of-the-interior-angles-of-a-trian/the-triangle-and-its-properties/1549928
You can proceed in the same way for an equilateral triangle as it is a special case of a triangle with all sides are equal.
Regards

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