Question

if the larger of two supplementary angles exceed the smaller by 38 degrees then angle are

Answer 1

supplemantary angles have a sum of 180°

let the angles be x and y

then x+y=180°

but according to the question x=38+y
putting this equation in the previous one ...we get

x+x+38°=180°
x=71.....which means that 71+ y= 180

y= 108°

Answer 2

Let the smaller supplementary angle be x,

Then, another angle = x + 38

Supplementary angles:-
The sum of two angles are 180°

Therefore,. x + x + 38 = 180

2x = 142
x = 71
And x + 38 = 71 + 38 = 109.

Hence,the angles are 71 and 109



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