Question

If the difference of two supplementary angles is 30°, then the measure of the smaller angle is

Answer 1

then let one angle be X and other be y.
A/Q
x+y=180
x-y=30(given)
therefore on adding theses two equations we get
x+y+x-y=180+30
2x=210
x=105.
now on putting these value in first we get
x+y=180
y=180-105=75
therefore
in two angles 1 angles will be 105 degree and second angle will be 75 degree.
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Answer 2

Hey


According to the concept of supplementary angles,

x + y = 180 degree

x = y + 30 degree

Therefore,

(y + 30) + y = 180

2y + 30 = 180 ; 2y = 180 - 30 = 150

y = 150/2 = 75 degree, x = 180 - 75 = 105 degree.

The measure of the smallest angle is 75 degree.



Hope this helps