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  • Form the pair of linear equations for the following problem and find their solution by substitution method. (ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.

Q3. Form the pair of linear equations for the following problem and find their solution by substitution method.

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

Answers (1)

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Let the larger angle be x and smaller angle be y 

Now, as we know, the sum of supplementary angles is 180. so,

x+y=180.......(1)

Also given in the question,

x-y=18.......(2)

Now, From (2), we have: 

y=x-18.......(3)

Substituting this value in (1)

x+x-18=180

\Rightarrow 2x=180+18

\Rightarrow 2x=198

\Rightarrow x=99

Now, substituting this value of x in (3), we get 

\Rightarrow y=x-18=99-18=81

Hence, the two supplementary angles are 

99^0\:and\:81^0.

Posted by

Pankaj Sanodiya

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