Question

the supplementary of an angle and the complement of another have the sum equal to half of a complete angle. If the greater angle is 10 degrees more than the smaller, find the smaller angle.
1)40°
2)35°
3)45°
4)30°​

Answer 1

Answer:

35 is the answer to the question

Answer 2

Answer:

Step-by-step explanation:

let smaller angle be X

Then greater angle X+10

and for complementry angle= one angle is X+10 and other is 90-(X+10)

and for supplementry angle= one angle is X+10 and other is 180-(X+10)

and complete angle is 360

Therefore according to question:-

{180-(X+10)} + {90-(X+10)}=360/2

X=35