two supplementary angles differ by 34 degree find the angles​

Let the measure of first angle = xMeasure of its complement = 180°-xNow, according to question :x - 180°-x = 34°x - 180° + x = 34°2x = 34° + 180°2x = 214°x = 107Now, first angle = 107°other angle = 180° - 107° = 73°

  • 6
Let the smaller angle be x
Other angle x+34
x+x+34=180 (supplementary angles)
2x+34=180
2x=180-34
2x=146
x=146/2
x=73
other angle= x+34
=73+34
=107
  • 6
answer to this Q is as follows
let the angles be X and x -34
now,X+X-34=180
2X-34=180
2X=180+34
2X=214
so X =214/2
=107
so angles =107 and107-34 =73
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