Given: O is the centre of the circle. PWSR is a cyclic quadrilateral. PW || OS. P_1 = 36^.
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.
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Here's a step-by-step solution for Question 3 and Question 4.
Question 3
Given: O is the centre of the circle. PWSR is a cyclic quadrilateral. PW || OS. $\hat{P}_1 = 36^\circ$.
3.1 Calculate $\hat{SOW}$
Step 1: Identify parallel lines and transversal.
Given PW || OS. Consider WO as a transversal.
Step 2: Apply alternate interior angles theorem.
$\angle PWO = \angle WOS$ (Alternate interior angles, PW || OS).
So, $\hat{W}_1 = \hat{SOW}$.
*Step 3: Analyze $\triangle OWS
