## Elementary Geometry for College Students (7th Edition)

The angles of triangle XYZ are equal to half of the arcs XY, YZ, and XZ. Therefore they measure 60$^{\circ}$, 65$^{\circ}$, and 55$^{\circ}$. m$\angle$C=.5(ZX+XY-YZ) m$\angle$C=.5(230-130) m$\angle$C=50$^{\circ}$ Similar triangles have congruent angles. Since m$\angle$C is not equal to the measures of any of the angles in triangle XYZ, the two triangles cannot be similar.