Final answer:
The value of x in the square QRST, given angle RTQ as 3x-6, is calculated by setting the equation 3x-6 equal to 90 degrees and solving for x, which yields a value of 32.
Step-by-step explanation:
To find the value of x in the square QRST, we look at the measure of angle RTQ which is given as 3x-6. Since QRST is a square, all angles are right angles, meaning they measure 90 degrees.
Setting the equation 3x-6 = 90 and solving for x, we get:
- Add 6 to both sides: 3x = 96
- Divide both sides by 3: x = 32
Therefore, the value of x is 32.