Two adjacent angles are inside a 90° angle. One angle has a measure of (x+4)° and the other angle has a measure of (3x+2)° . What is x ?
The sum of the two adjacent angles should be equal to 90°, so we can set up the equation:
(x+4)° + (3x+2)° = 90°
Combining like terms, we have:
4x + 6 = 90
Subtracting 6 from both sides, we get:
4x = 84
Dividing both sides by 4, we find:
x = 21
Therefore, x = 21.