In Delta XYZ,mangle X=42^circ and mangle Y=127^circ . Which statement about the sides of Delta XYZ must be true? Answer ZXlt YZlt XY YZlt ZXlt XY YZlt XYlt ZX XYlt ZXlt YZ ZXlt XYlt YZ XYlt YZlt ZX

To determine the relationship between the sides of triangle XYZ, we need to consider the angles given.<br /><br />Given:<br />- m∠X = 42°<br />- m∠Y = 127°<br /><br />Step 1: Calculate m∠Z using the fact that the sum of angles in a triangle is 180°.<br />m∠Z = 180° - m∠X - m∠Y<br />m∠Z = 180° - 42° - 127°<br />m∠Z = 11°<br /><br />Step 2: Compare the angles to determine the order of the sides.<br />Since the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side, we can conclude that:<br />m∠Y > m∠X > m∠Z<br /><br />Therefore, the correct statement about the sides of triangle XYZ is:<br />$XY\lt YZ\lt ZX$