Question
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?
Answers
Answered by
GPT 3.5
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.
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.