Answer:
Step-by-step explanation:
Given angles measure,
m∠a = 24°
m∠b = 40°
m∠c = 31°
ii). Since, all the angles are located at a point O on a straight line AB,
Therefore, sum of all angles at point O = 180°
m∠a + m∠b + m∠c + m∠x = 180°
24° + 40° + 31° + m∠x = 180°
95° + m∠x = 180°
m∠x = 180 - 95
m∠x = 85°
ii). m∠ZOB = c = 31°
iii). m∠XOY = b = 40°
iv). m∠AOY = (a + b)°
= (24 + 40)
= 64°
v). m∠YOZ = x°
= 85°
