Question

what equation can be used to solve for angle c? (x + 16) + (x) = 180 (x + 16) + (6x - 4) = 180 (x + 16) - (2x + 16) = 180 (x + 16) + (x) = 90

Explanation:

Step1: Recall the property of cyclic quadrilaterals

In a cyclic quadrilateral, the sum of opposite angles is \(180^{\circ}\).

Step2: Identify opposite angles

Angle \(A=(x + 16)^{\circ}\) and angle \(C=(6x-4)^{\circ}\) are opposite angles.

Step3: Set up the equation

Using the property of cyclic quadrilaterals, we get \((x + 16)+(6x - 4)=180\)

Answer:

\((x + 16)+(6x - 4)=180\)