here's how to calculate the value of ∠ PRS: Step 1: Use the exterior angle property of a cyclic quadrilateral at point P. The exterior angle ∠ TPS is equal to the interior opposite angle ∠ QRS. Given ∠ TPS = 74°. Therefore, ∠ QRS = 74°. Step 2: Use the exterior angle property of a cyclic quadrilateral at point Q. The exterior angle ∠ UQR is equal to the interior opposite angle ∠ SPQ. Given ∠ UQR = 68°. Therefore, ∠ SPQ = 68°. Step 3: Find ∠ PSR using

We read your photo as:

Given TPS = 74^.

May 6, 2026Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps

here's how to calculate the value of $\angle PRS$ :

Use the exterior angle property of a cyclic quadrilateral at point P.
The exterior angle $\angle TPS$ is equal to the interior opposite angle $\angle QRS$ .
Given $\angle TPS = 74^\circ$ .
Therefore, $\angle QRS = 74^\circ$ .
Use the exterior angle property of a cyclic quadrilateral at point Q.
The exterior angle $\angle UQR$ is equal to the interior opposite angle $\angle SPQ$ .
Given $\angle UQR = 68^\circ$ .
Therefore, $\angle SPQ = 68^\circ$ .
Find $\angle PSR$ using