The sum of an angle and its complement =90°
The angle is 59°; its complement is 31°
Step-by-step explanation:
Given measure of an angle is 28 degrees greater than its complement.
By definition the sum of an angle and its complement =90°
Let the angle be x
The angle's complement must be x−28° (from the given information)
x+(x−28°)=90° or [tex]x+(x−28°)=90°[/tex]
2x= 118° or [tex]2x= 118°[/tex]
x= 59° or [tex]x= 59°[/tex]
So the angle is 59° and its complement is 59°−28°=31°
[tex]So the angle is 59° and its complement is 59°−28°=31°[/tex]
