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

June 3, 2026Mathematics

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June 3, 2026

Answer

180^\circ $$

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

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Quick Answer

a) Step 1: Identify the properties of PQR. Given that |PQ| = |QR|, PQR is an isosceles triangle.

Asked on June 3, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 3, 2026

Here are the solutions to questions 31, 32, 33, and 34. Question 31: a) Step 1: Identify the properties of PQR. Given that |PQ| = |QR|, PQR is an isosceles triangle. The base angles are equal: QPR = QRP. The sum of angles in a triangle is 180^. PQR + QPR + QRP = 180^ Given PQR = 50^: 50^ + 2 QRP = 180^ ✂️ _That answer was long and got cut off. Reply continue and I'll finish it._