The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle

Question

Help me please???????

 

Answer 1

If we know that 2 angles are complements of each other, then they add up to 90 degrees. Knowing this, if we know that the complement of an angle X has an angle value that is 3 times greater, we can write that as such:

X + 3X = 90 => 4X = 90.

We solve for X to get: 22.5 degrees. This gives us the value for angle X.

To get the complement's angle, multiple X by 3: 22.5 degrees * 3 = 67.5 degrees.

Thus: the complement of the angle is 67.5 degrees.