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# Form the pair of linear equations for the following problems and find their solution by substitution method.(ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them. Q.3(2)

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The best question of class 10th math. How i solve this question it is important regarding to board exam Form the pair of linear equations for the following problems and find their solution by substitution method.(ii) The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.

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1. Let the larger angle by xoÂ and smaller angle be yo.

We know that the sum of two supplementary pair of angles is always 180o.

According to the question,

x + y = 180oâ€¦â€¦â€¦â€¦â€¦. (1)

x â€“ y = 18oÂ â€¦â€¦â€¦â€¦â€¦..(2)

From (1), we get x = 180oÂ â€“ y â€¦â€¦â€¦â€¦. (3)

Substituting (3) in (2), we get

180oÂ â€“ y â€“ y =18o

162oÂ = 2y

y = 81oÂ â€¦â€¦â€¦â€¦.. (4)

Using the value of y in (3), we get

x = 180oÂ â€“ 81o

= 99o

Hence, the angles are 99oÂ and 81o.

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