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

1 answer

Since the two adjacent angles are inside a 90-degree angle, they must add up to 90 degrees. Therefore, we can set up the equation:

(x + 4) + (3x + 2) = 90

Combining like terms:

4x + 6 = 90

Subtracting 6 from both sides:

4x = 84

Dividing by 4:

x = 21

Therefore, x = 21.