Show that each statement is false by providing a counterexample. (a) If the length of XZ is 32 and point Y lies on XZ, then XY - 20 and YZ - 12. Counterexample: XY -YZ = (b) If _ 1 and Z2 are complementary angles, then one of them must have a measure greater than 45. Counterexample: m 21 = , m Z2 - (c) If the measures of Z P, ZO, and ZR sum to 180, then all of the angles must be acute. Counterexample: m ZP - , mzo = \\, mZR - (d) If the perimeter of a rectangle is 28, then the length is 7 and the width is 7