In the diagram, PORS is a circle, centre O and ⦟RQS = 40°. Find ⦟PRS

Here are the solutions to questions 31, 32, 33, and 34.

Question 31:

a)

Step 1: Identify the properties of $\triangle PQR$.
Given that $|PQ| = |QR|$, $\triangle PQR$ is an isosceles triangle. The base angles are equal: $\angle QPR = \angle QRP$.
The sum of angles in a triangle is $180^\circ$.

$$\angle PQR + \angle QPR + \angle QRP = 180^\circ$$

Given $\angle PQR = 50^\circ$:

$$50^\circ + 2 \angle QRP = 180^\circ$$