Answer:
(a) ∠e +∠d = 180° is false
Explanation:
You want to know which angle expression is not true.
Angle Solution
We can figure the measures of all of the unknown angles, then check the given expressions.
Angles 'a' and 130° are corresponding angles, so congruent:
a = 130°
Angles 'a' and 'e' are vertical angles, so congruent:
e = a = 130°
Angle 'd' and 62° are vertical angles, so congruent:
d = 62°
Angles 'b' and 'd' are corresponding angles, so congruent:
b = d = 62°
Angles 'f' and 62° are corresponding angles, so congruent:
f = 62°
Angles 'c' and 130° are a linear pair, so supplementary:
c + 130° = 180°
c = 50° . . . . . . subtract 130°
Statement check
(a) ∠e +∠d = 180° ⇒ 130° +62° = 180° . . . . false
(b) ∠d +∠b = 124° ⇒ 62° +62° = 124° . . . . true
(c) ∠a +∠c = 180° ⇒ 130° +50° = 180° . . . . true
(d) ∠ 180° -∠f = 118° ⇒ 180° -62° = 118° . . . . true