proved that x+y+z = 360
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Just to throw my oar in, x and a, z and b, y and c each form a straight line so x+a= 180, z+ b= 180, and y+ c= 180. Adding those three equations, x+ a+ z+ b+ y+ c= 180+ 180+ 180= 540. but a+ b+ c= 180 because they are the interior angles in a triangle. 180+ x+ y+ z= 540 so x+ y+ z= 540-180= 360.
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