The larger of two supply mentary …
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Posted by Geeta Jadav 5 years, 3 months ago
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Geeta Jadav 5 years, 3 months ago
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Gaurav Seth 5 years, 3 months ago
In two supplementary angles, let one angle be ‘x’. another angle be ‘y’ Sum of these = 180° ∴ x + y = 180 ………… (i) The larger of two supplementary angles exceeds the smaller by 18 degrees. ∴ x-y = 18 ………… (ii) From eqn. (ii), x – y = 18 x = 18 + y Substituting the value of ‘x’ in eqn. (i), x + y = 180 . 18 +y + y = 180 18 + 2y = 180 2y = 180 – 18 2y = 162 ∴ y = 16221622 ∴ y = 81 Substituting the value of y’ in x = 18 + y x = 18 + 81 x = 99 ∴ x = 99°, y = 81°.
Or
let the two angle be /x and /y
according to given condition-
/x+/y = 180 ----(1)
/x = /y + 18 -----(2)
substituting the value of (2) in (1)
(1) - /x+/y = 180
- (/y+18)+/y = 180
- 2/y+ 18 = 180
-2/y = 162
-/y= 81
substituting the value of y in (2)
/x=/y+18
/x=81+18
/x=99
1Thank You