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In the given figure, the arms of two angles are parallel. If angle ABC = 70 degree then find angle DGC, angle DEF.

5. In the given figure, the arms of two angles are parallel. If \angle ABC= 70^{o}, then find

          (i) \angle DGC

          (ii)\angle DEF

  
 

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(i) Since side AB is parallel to DG. 

     Thus :               \angle DGC\ =\ 70^{\circ}            (Corresponding angles of parallel arms are equal.)

 

(ii)     Further side BC is parallel to EF.

We have :              \angle DEF\ =\ \angle DGC\ =\ 70^{\circ}               (Corresponding angles of parallel arms are equal.)

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