Two adjacent angles are inside a 90 angle. One angle has a measures of ( x + 4) and the other angle has a measure of (3x + 2) What is x?

1 answer

Since the two angles are adjacent and inside a 90-degree angle, their measures must add up to less than 90 degrees.

We have the following equation:

(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

Therefore, x must be less than 21.