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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1 answer

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.