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In the adjoining figure, p is parallel to q. Find the unknown angles.

3. In the adjoining figure,p\parallel q. Find the unknown angles.

  

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The angles can be found using different properties:

(a) \angle e\ =\ 180^{\circ}\ -\ 125^{\circ}\ =\ 55^{\circ}        (The angles are linear pair)

(b)  \angle e\ =\ \angle f\ =\ 55^{\circ}                            (Vertically opposite angle)

(c)  \angle d\ =\ 125^{\circ}                                          (Corresponding angle)

(d)  \angle d\ =\ \angle b\ =\ 125^{\circ}                           (Vertically opposite angle)

(e)  \angle a\ =\ \angle c\ =\ 180^{\circ}\ -\ 125^{\circ}\ =\ 55^{\circ}            (Vertically opposite angel,  linear pair).

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