Answer:
Measures of all angles is either 77.5° or 102.5°
Step-by-step explanation:
See the attached figure.
As shown:
line a parallel to line b with transversal m
So, all the angles are either congruent or supplementary.
Let the supplementary angles x and y and y > x
x + y = 180° ⇒ (1)
one angle is 25° bigger than another
y - x = 25° ⇒ (2)
solving (1) and (2)
∴ x = 77.5° and y = 102.5°
