Circle Geometry, SMB-015 Find the size of angles \(x^{\circ}\) and \(y^{\circ}\). (3 marks) --- 4 WORK AREA LINES (style=lined) --- Show Answers Only \(x= 38^{\circ}\) \(y= 104^{\circ}\) Show Worked Solution \(x=38^{\circ}\ \ \text{(angles standing on the same arc)} \) \(\text{Let}\ \ \theta =\ \text{angle at centre on the same arc} \) \(\theta = 2 \times 38 = 76^{\circ} \) \(y^{\circ}\) \(=180-76\ \ \text{(180° in straight line)}\) \(=104^{\circ} \)