A figure shows two adjacent angles with measures (x−6)° and (3x+3)°. If the angles are complementary, what is the simplified equation for the angles?
If two angles are complementary, their sum is equal to 90 degrees.
So, we have the equation:
(x - 6) + (3x + 3) = 90.
Combining like terms, we get:
4x - 3 = 90.
Adding 3 to both sides, we have:
4x = 93.
Dividing both sides by 4, we get the simplified equation:
x = 23.