Two adjacent angles are inside a 90° angle. One angle has a measure of ( x + 4 )° and the other angle has a measure of ( 3 x + 2 )°. What is x?
Since the angles are adjacent and inside a 90° angle, their measures must add up to less than 90°. Therefore, we can set up the following inequality:
(x + 4) + (3x + 2) < 90
Combining like terms, we get:
4x + 6 < 90
Subtracting 6 from both sides:
4x < 84
Dividing both sides by 4:
x < 21
So, x must be less than 21.