Question

2 supplementary angles differ by 40 degrees what are the angles

Answer 1

x+y=180
x-y=40
it imples that x=110 and y=70
two angles are 110 and 70

Answer 2

Let the bigger angle and smaller angle be x and y Respectively
They are Supplementary angles so there sum = 180°
x + y = 180 ------------1
x - y  = 40 ----Given in The Question they Differ by 40°

Solving Simultaneously
2x = 220
x = 220/2
x = 110°

Substitute the value of x in equation 1
x + y = 180
110 + y = 180
y = 180 - 110
y = 70°

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