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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. - CBSE Class 10 - Mathematics

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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?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 3: Pair of Linear Equations in Two Variables
Ex. 3.30 | Q: 3.2 | Page no. 53
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.
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