Question

If the larger of the 2complementary angles excess the smaller by 30 find the angle

Answer 1

Let x and y be the Supplementary angles...
and x>y

Now .
x+y=180° (supplementary angles)→(1)

Acc. to question.
x=y+30° →(2)

Substituting (2) in (1)
→y+30°+y=180°
→2y=180°-30°
→2y=150°
→y=150/2=75°

So y=75°

and so x+75°=180°
→x=180-75=105°

now checking for correction....
75+30=105.

So the angles are 105° and 75° Respectively...

Hope it helps...
Regards,
Leukonov.

Answer 2

Hope it helps u definitely  And thanks for asking doubt