Question 463043
"The angles that are suuplementary differ 27 degrees.  find the smaller of the two."


Supplementary angles add up to 180°


x = one angle
180 - x = other angle


180 - x - x = 27 {the two angles differ by 27}
180 - 2x = 27 {combined like terms}
-2x = -153 {subtracted 180 from both sides}
x = 76.5 {divided both sides by -2}
180 - x = 103.5 {substituted 76.5, in for x, into 180 - x}


the smaller angle is 76.5°
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