The measures of angles a through h as well as the angle relationship that justifies the conclusions are
a = 132° - Sum of angles on a straight line
b = 132° - Vertically opposite angles
c = 132° - Corresponding angles
d = 29° - Sum of angles on a straight line
e = 29° - Vertically opposite angles
f = 151° - Vertically opposite angles
g = 29° - Corresponding angles
h = 19° - Sum of angles in a triangle
48° + a = 180° (Sum of angles on a straight line)
∴ a = 180° - 48°
a = 132°
b = a (Vertically opposite angles) ∴
b = 132°
c = b (Corresponding angles)
∴ c = 132°
d + 151° = 180° (Sum of angles on a straight line)
d = 180° - 151°
∴ d = 29°
e = d (Vertically opposite angles)
∴ e = 29°
f = 151° (Vertically opposite angles)
g = e (Corresponding angles)
∴ g = 29°
h + c + d = 180° (Sum of angles in a triangle)
h + 132° + 29° = 180°
h + 161° = 180°
h = 180° - 161°
h = 19°
Hence, the measures of the angles are
a = 132° - Sum of angles on a straight line
b = 132° - Vertically opposite angles
c = 132° - Corresponding angles
d = 29° - Sum of angles on a straight line
e = 29° - Vertically opposite angles
f = 151° - Vertically opposite angles
g = 29° - Corresponding angles
h = 19° - Sum of angles in a triangle
Learn more here: https://brainly.com/question/16663106
