Question

4 solve for x.

Explanation:

Step1: Recognize the property of a square

In a square, the diagonals bisect the angles. So, $\angle PQS = 45^{\circ}$.

Step2: Set up the equation

Since $\angle PQS=(6x - 21)^{\circ}$, we have the equation $6x-21 = 45$.

Step3: Solve the equation for \(x\)

Add \(21\) to both sides: $6x=45 + 21$, so $6x=66$.
Divide both sides by \(6\): $x=\frac{66}{6}$.

Answer:

\(x = 11\)