Answer:
x=24
Step-by-step explanation:
If angles are complementary, that means they will add to 90 degrees. We know that ∠A and ∠B are complementary, therefore,
∠A+∠B=90
∠A is equal to x-6, and ∠B is equal to 3x.
x-6+3x=90
Combine like terms (all the terms with variables)
(x+3x)-6=90
4x-6=90
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
6 is being subtracted from 4x. The opposite of subtraction is addition, so add 6 to both sides.
4x-6+6=90+6
4x=90+6
4x=96
x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by 4.
4x/4=96/4
x=96/4
x=24
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