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 ?
A 90 degree angle is shown on a white background. A ray is splitting the 90 degree angle into two adjacent angles. The top angle is labeled as x plus 4. The bottom angle is labeled as 3 times x plus 2.
(1 point)
Since the two angles are adjacent and inside a 90° angle, their sum must be equal to 90°.
So, we can write the equation:
(x+4)° + (3x+2)° = 90°
Combining like terms,
4x + 6 = 90
Subtracting 6 from both sides,
4x = 84
Dividing both sides by 4,
x = 21