Question

The Difference of Two Complement Angle is 18°.What is The Value Of Bigger Angle

Answer 1

let x be bigger angle and y be smaller angle
x+y=90
x-y=18

so adding above to equations
2x=108

x=54

Answer 2

We know that two angles are complementary when they add up to 90 degrees.

Let one angle be x.

Then the other angle will be 90-x.

Given that the difference between two complement angle is 18.

90 - x - x = 18

90 - 2x = 18

-2x = 1- - 90

-2x = -72

x = 36.

if one angle is 36.Then the other angle will be 90 - 36 = 54.

Therefore the value of bigger angle = 54.


Hope this helps!