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 solve this problem, we can use the fact that the sum of the measures of two adjacent angles is equal to the measure of the larger angle. In this case, the larger angle is the 90° angle.
So, we have the equation:
(x+4)° + (3x+2)° = 90°
Now, we can solve for x by combining like terms and solving the equation:
4x + 6 = 90
4x = 84
x = 21
Therefore, x is equal to 21.