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
Problem 14: The figure shows a cyclic quadrilateral ABCD. Step 1: In a cyclic quadrilateral, opposite angles sum to 180^. Angles D and B are opposite. D + B = 180^ Step 2: Substitute the given expressions for D and B from the image. (x^ + 60^) + 6x^ = 180^ Step 3: Combine like terms on the left side of the equation. 7x^ + 60^ = 180^ Step 4: Subtract 60^ from both sides of the equation. 7x^ = 180^ - 60^ 7x^ = 120^ Step 5: Divide by 7 to solve for x. x = (120)/(7) x ≈ 17.1428 The value of x is (120)/(7) or approximately 17.14. That's 2 down. 3 left today — send the next one.