How do i solve this question

im in 1st year hs and how do i solve this? please help?

"One of the two complementary angles measures three times the other. find the measure of each angle."

Complementary angles add up to 90 degrees.
If we let one of them be x, we know the other is 3 times that one so 3x.
3x + x = 90
4x = 90
x =22.5
3x = 67.5
Those are your two angles

Remember, two angles are complementary if they add together to get 90 degrees.

Let X be one of the angles.
Then, the other angle is 90 - X since X + (90 - X) = 90.

With this in mind, we have to create an equation from what we are given:

One of the complementary angles = 3 times the other

So, we get:

X = 3(90 - X)
X = 270 - 3X
4X = 270
X = 270/4
X = 67.5

Since X = 67.5, it follows that 90 - X = 90 - 67.5 = 22.5.

So, the angles are: 67.5 and 22.5

Two complementary angles are two angles that add to make 90.

Using the info above, these two equations are true:
x + y = 90
x = 3y

Where x is the larger angle, y is the smaller. This is a system of equations.

x + y = 90 --- {Remember that x = 3y}
3y + y = 90
4y = 90
y = 22.5

x = 3y
x = 3(22.5)
x = 67.5

Therefore, the two angles are 22.5, and 67.5.

Complementary angles mean that angle A + angle B = 90 degrees

so:

A + B = 90
B = 3A

plug equation 2 into equation one : A + 3A = 90, 4A = 90 , A = 22.5 degrees
B = 3A, B = 67.5 degrees.

Conclusion:

A = 22.5 degrees
B = 67.5 degrees

complementary angles SUM TO 90°
Θ +(3Θ) = 90 making Θ = 90/4 or (45/2)° = 22.5°

That makes the larger angle (3Θ) = (135/2)° = 67.5°

Let x = the first angle.

The second would be 3x.

So: x + 3x = 90

4x = 90

x = 22.5

Proof: 22.5 + 3(22.5) = 90

22.5 + 67.5 = 90

X+Y=90 OR X=90-Y
X=3Y+30 NOW SUBSTITUTE (90-Y) FOR X & SOLVE FOR Y
90-Y=3Y+30
-Y-3Y=30-90
-4Y=-60
Y=-60/-4


Y=15 ANSWER.
X=3*15+30