Answer:
Step-by-step explanation:
a.x = 95 degree
reason = being vertically opposite angles
x + 145 degree = 180 degree
x = 180 -145
x=35 degree
reason = being linear pair
b.40 + x =90 degree
x = 90 - 40
x = 50 degree
reason = being perpendicular
y = x + 40
y = 50 + 40
y = 90 degree
reason = being vertically opposite angles
c.50 + 60 + x=180 degree
110 + x =180
x = 180-110
x = 70 degree
reason = being linear pair
z = 60 degree
reason = being vertically opposite angles
y = 50 degree
reason = being vertically opposite angles
d. x = 80 +10
x =90 degree
reason = being vertically opposite angles
y + x =180 degree
y + 90 =180
y = 180 - 90
y = 90 degree
reason = being linear pair
