The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them
Solution : let to supplementry angles be x and y. Where x> y . Therefore
x + y = 180 ………….(i)
And. x = y + 18 ………….(ii)
Put equation (ii) in ,(i)
y + 18 + y = 180
2y = 180 – 18
2y = 162
y = 162/2 = 81
Put y = 81 in (ii)
x = 81 + 18 = 99
So required angles are 18⁰ and 99⁰
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