text: Mathematics
  
  # How many degrees are there in an angle which is one-fifth of its complement?
  
  ##### SOLUTION
  In the given figure,
  Given angle is 10501050
  x+1050=1800x+1050=1800
  x=18001050=750x=1800−1050=750
  But x+y=1800x+y=1800              (Sum of co-interior angles)
  750+y=1800⇒750+y=1800           (Sum of co-interior angles)
  y=1800750=1050⇒y=1800−750=1050
  Similarly, y+z=1800y+z=1800   (Sum of co-interior angles)
  1050+z=1800⇒1050+z=1800
  z=18001050=750⇒z=1800−1050=750
  Hence, x=750,y=1050,z=750
  
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  Subjective Medium Published on 09th 09, 2020
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