#### Question

Form the pair of linear equations for the following problems and find their solution by substitution method .

The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.

#### Solution

Let first angle = x

And second number = y

As both angles are supplementary so that sum will 180

x + y = 180

x = 180 - y ... (i)

Difference is 18 degree so that

x – y = 18

Putting the value of x we get

180 – y – y = 18

- 2y = -162

y = -162/-2

y = 81

Putting the value back in equation (i), we get

x = 180 – 81 = 99

Hence, the angles are 99º and 81º

Is there an error in this question or solution?

Solution Form the pair of linear equations for the following problems and find their solution by substitution method . The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them. Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method.