The larger of two supplementary angles exceeds the smaller by 18 degrees. Find the angles.

Asked by Topperlearning User | 3rd Aug, 2017, 12:52: PM

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  | 3rd Aug, 2017, 02:52: PM