The larger of two supplementary angle exceeds the smaller by 18 degrees. Sir, i have in this question that two larger supplementary angles. IF it is two supplementary angles then x+y=360. Sir please this question fully and solve it. please.

Its urrgent

Let x and y be the angles

x + y = 180° .....B......they are supplementary angles

x = y +18°........A.......given

SUBSTITUTING A IN B......substitution method

x + y = 180

(y +18) + y = 180

y + y +18 = 180

2y + 18 = 180

2y = 180 -18

2y = 162

y = 162 /2 = 81

FROM A

x = y +18

x = 81+18 = 99

 

Thus, the two supplementary angles are 81° and 99°.

  • 3

let x and y be the angles

x + y = 180 .....B......they are supplementary angles

x = y +18........A.......given                                                                            

SUBSTITUTING A IN B......substitution method

x + y = 180

(y +18) + y = 180

y + y +18 = 180

2y + 18 = 180

2y  = 180 -18

2y  = 162

y  = 162 /2  = 81

FROM A

x = y +18

x = 81+18 = 99

SO x =81

 y =  99

  • 2
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