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Example 5: Given / || m, find the value of x in thefollowing figure.55°2368°

Answer»

angle 2 = 55° ( vertically opposite angle)angle 1 = 68° ( corresponding angle)angle 1 + angle 2 + angle 3 = 180° ( sum of angle of triangle)68° + 55° + angle 3 = 180°123° + angle 3 = 180°angle 3 = 180° - 123° = 57°angle 4 = angle 3 = 57° ( corresponding angle)angle 4 + angle x = 180° ( linear pair)57° + angle x = 180°angle x = 123°

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