Mathematics

If $$1||m$$. Find the value of a, b, c, d, e and f.


SOLUTION
$$\angle e = 180^{\circ} - 125^{\circ}$$   
$$\angle e = 55^{\circ}$$   [linear angle property]
$$\angle e = \angle f = 55^{\circ}$$    [opp. angle]
$$\angle d = \angle 125$$  [corresponding angle]
$$\angle c = \angle f = 55^{\circ}$$  [corresponding angle]
$$\angle a = \angle c = 55^{\circ}$$ [opp. angle]
$$\angle b = \angle d = 125^{\circ}$$ [opposite angle]
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