Final answer:
To find the value of x in the given square quadrilateral QRST, set the measure of RS equal to the measure of QT and solve for x. The value of x is 2.
Step-by-step explanation:
To find the value of x in the given square quadrilateral QRST, we need to set the measure of RS equal to the measure of QT and solve for x.
So, we can set up the equation: 12x + 5 = 8x + 15.
Then, we can solve the equation by subtracting 8x from both sides to isolate the x term: 12x - 8x + 5 = 8x - 8x + 15.
That simplifies to: 4x + 5 = 15. Finally, we subtract 5 from both sides to solve for x: 4x + 5 - 5 = 15 - 5.
So, 4x = 10 and dividing by 4 gives us x = 2. Therefore, the value of x is 2.