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)
°
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To find the value of x, we need to set up an equation based on the given information.
We know that the sum of the two adjacent angles inside a 90° angle is 90°. Therefore, we have the equation:
(x+4) + (3x+2) = 90
Next, we simplify the equation:
4x + 6 = 90
Subtract 6 from both sides:
4x = 84
Now, divide both sides by 4:
x = 21
Therefore, the value of x is 21.