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 Answer
Step 1: Find the angle subtended by arc XY at the center O. The angle at the center is twice the angle at the circumference subtended by the same arc. Given XPY = 47^. XOY = 2 × XPY XOY = 2 × 47^ = 94^ Step 2: Identify the angles formed by the tangents and radii. A radius drawn to the point of tangency is perpendicular to the tangent. Therefore, OXZ = 90^ and OYZ = 90^. Step 3: Calculate XZY using the sum of angles in quadrilateral OXZY. The sum of interior angles in a quadrilateral is 360^. In quadrilateral OXZY: XOY + OXZ + OYZ + XZY = 360^ Substitute the known angle values: 94^ + 90^ + 90^ + XZY = 360^ 274^ + XZY = 360^ XZY = 360^ - 274^ XZY = 86^ The final answer is B. 86^. Send me the next one 📸