One of the most important and exam oriented question from linear equations in two variables in which we have to find two angles which are supplementary to each other if larger is greater than smaller one by 18°.

Kindly give me a detailed solution of this question by the properties of linear equations

RS Aggarwal, Class 10, chapter 3E, question no 51

Let the angles be x and y

So, x+y=180∘−(1)

x=y+18

⇒y+18+y=180∘

∴y=81;x=99∘