what is the value of $x$?\n$x = $

what is the value of $x$?\n$x = $

what is the value of $x$?\n$x = $

Answer

Explanation:

Step1: Identify the geometric property

Opposite angles of a cyclic quadrilateral sum to $180^{\circ}$.

Step2: Set up the equation

$$71^{\circ} + (x + 75^{\circ}) = 180^{\circ}$$

Step3: Simplify the left side

$$x + 146^{\circ} = 180^{\circ}$$

Step4: Solve for $x$

$$x = 180^{\circ} - 146^{\circ}$$ $$x = 34$$

Answer:

34