Question

Two supplementary angles differ by 34 . Find their measures

Answer 1

Let x = measure of one angle
Since the angles are supplementary, the other angle measures 180 - x.
Their difference is 34 degrees so
Let 1st angle be a and 2nd Angle be ythen, a+b=180--------(i)and a-b=34---------(ii)
atq, (a+b)+(a-b) = 180+34 =>a+b+a-b =214 =>a+a =214 =>2a =214 =>a= 214 ÷ 2 =>a=107.•. a= 107and b= 180-107 =73