Answer:
Z = 148°
Step-by-step explanation:
Y - the measure of angle Y
5Y - five times the measure of angle Y
5Y-12 - twelve less than five times the measure of angle Y
Z = (5Y - 12)°
Y and Z being linear pair of angles means they create a straight angle so they add to 180°
Y + Z = 180
Y + 5Y - 12 = 180
6Y = 192
Y = 32
Z = (5•32 - 12)° = (160 - 12)° = 148°
