twlindsayallstar2k twlindsayallstar2k
  • 02-12-2019
  • Mathematics
contestada

the difference between the measures of two supplementary is 42. Find both angles.​

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 02-12-2019

Answer:

111 deg and 69 deg

Step-by-step explanation:

let the angles be x and y

given:

x - y = 42 degrees -------> eq 1

also given that they are supplemantry,

i.e x + y = 180 degrees ----------> eq 2

by elimination,

eq 1 + eq 2

(x-y) + (x+ y) = 42 + 180

2x = 222

x = 111 degrees (substitute back into eq 2)

111 + y = 180

y = 180 - 111

y = 69 deg

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