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: Identify the relationship between the angle at the center and the angle at the circumference. The angle at the center, POR, and the angle at the circumference, PQR, are both subtended by the same arc PR. Step 2: Apply the circle theorem. The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle. POR = 2 × PQR Step 3: Substitute the given value and solve for PQR. 130^ = 2 × PQR PQR = (130^)/(2)