To find the value of x when you know that the measure of arc QS is represented by the expression 4x + 18, we need to set up an equation based on the given information.
In many geometric problems, the total measure of a circle (360 degrees) might come into play, but since no total measure was indicated here, we can simply express that:
4x + 18 = Total Measure of Arc QS.
If you have additional details about the total measure that arc QS represents, you could set the equation equal to that number. For example, if it’s known that the measure of arc QS equals 90 degrees, the equation would look like this:
4x + 18 = 90.
Now you can solve for x:
Subtract 18 from both sides:
4x = 72
Then divide both sides by 4:
x = 18.
Therefore, once you have the specific measure for arc QS, you can find x through basic algebraic manipulation.