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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# 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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Let the larger angle by x

^{o}Â and smaller angle be y^{o}.We know that the sum of two supplementary pair of angles is always 180

^{o}.According to the question,

x + y = 180

^{o}â€¦â€¦â€¦â€¦â€¦. (1)x â€“ y = 18

^{oÂ }â€¦â€¦â€¦â€¦â€¦..(2)From (1), we get x = 180

^{o}Â â€“ y â€¦â€¦â€¦â€¦. (3)Substituting (3) in (2), we get

180

^{oÂ }â€“ y â€“ y =18^{o}162

^{o}Â = 2yy = 81

^{o}Â â€¦â€¦â€¦â€¦.. (4)Using the value of y in (3), we get

x = 180

^{o}Â â€“ 81^{o}= 99

^{o}Hence, the angles are 99

^{o}Â and 81^{o}.