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CBSE Class 10 Answered

The larger of two supplementary angles exceeds the smaller by 18 degrees. Find the angles.
Asked by Topperlearning User | 03 Aug, 2017, 12:52: PM
answered-by-expert Expert Answer

begin mathsize 12px style Let space straight x space and space straight y space be space the space two space supplementary space angles. rightwards double arrow straight x plus straight y equals 180....... left parenthesis straight i right parenthesis Given space that space one space angle space is space greater space than space other space by space 18. rightwards double arrow straight x equals straight y plus 18........ left parenthesis ii right parenthesis Putting space value space of space straight x space in space the space equation space left parenthesis straight i right parenthesis rightwards double arrow straight y plus 18 plus straight y equals 180 rightwards double arrow 2 straight y equals 162 rightwards double arrow straight y equals 81 rightwards double arrow straight x equals straight y plus 18 rightwards double arrow straight x equals 81 plus 18 rightwards double arrow straight x equals 99 Two space supplementary space angles space are space 99 space and space 81 end style

Answered by | 03 Aug, 2017, 02:52: PM

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